Finding the Third Proportional to 27,729 and 39,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,729 : 39,055.50 = 39,055.50 : x
2. Step 2: Convert to fraction form
   27,729/39,055.50 = 39,055.50/x
3. Step 3: Cross multiply
   27,729x = 39,055.50 × 39,055.50
4. Step 4: Simplify right side
   27,729x = 1,525,332,080.25
5. Step 5: Solve for x
   x = 1,525,332,080.25/27,729
6. Step 6: Final answer
   x = 55,008.55