Finding the Third Proportional to 34,115 and 74,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,115 : 74,057.50 = 74,057.50 : x
2. Step 2: Convert to fraction form
   34,115/74,057.50 = 74,057.50/x
3. Step 3: Cross multiply
   34,115x = 74,057.50 × 74,057.50
4. Step 4: Simplify right side
   34,115x = 5,484,513,306.25
5. Step 5: Solve for x
   x = 5,484,513,306.25/34,115
6. Step 6: Final answer
   x = 160,765.45