Finding the Third Proportional to 3,677,733 and 5,709,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677,733 : 5,709,055.50 = 5,709,055.50 : x
2. Step 2: Convert to fraction form
   3,677,733/5,709,055.50 = 5,709,055.50/x
3. Step 3: Cross multiply
   3,677,733x = 5,709,055.50 × 5,709,055.50
4. Step 4: Simplify right side
   3,677,733x = 32,593,314,702,080.25
5. Step 5: Solve for x
   x = 32,593,314,702,080.25/3,677,733
6. Step 6: Final answer
   x = 8,862,338.48