Finding the Third Proportional to 34,344 and 74,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,344 : 74,155.50 = 74,155.50 : x
2. Step 2: Convert to fraction form
   34,344/74,155.50 = 74,155.50/x
3. Step 3: Cross multiply
   34,344x = 74,155.50 × 74,155.50
4. Step 4: Simplify right side
   34,344x = 5,499,038,180.25
5. Step 5: Solve for x
   x = 5,499,038,180.25/34,344
6. Step 6: Final answer
   x = 160,116.42