Finding the Third Proportional to 35,505 and 76,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,505 : 76,477.50 = 76,477.50 : x
2. Step 2: Convert to fraction form
   35,505/76,477.50 = 76,477.50/x
3. Step 3: Cross multiply
   35,505x = 76,477.50 × 76,477.50
4. Step 4: Simplify right side
   35,505x = 5,848,808,006.25
5. Step 5: Solve for x
   x = 5,848,808,006.25/35,505
6. Step 6: Final answer
   x = 164,731.95