Finding the Third Proportional to 34,650 and 74,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,650 : 74,767.50 = 74,767.50 : x
2. Step 2: Convert to fraction form
   34,650/74,767.50 = 74,767.50/x
3. Step 3: Cross multiply
   34,650x = 74,767.50 × 74,767.50
4. Step 4: Simplify right side
   34,650x = 5,590,179,056.25
5. Step 5: Solve for x
   x = 5,590,179,056.25/34,650
6. Step 6: Final answer
   x = 161,332.73