Finding the Third Proportional to 34,101 and 72,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,101 : 72,724.50 = 72,724.50 : x
2. Step 2: Convert to fraction form
   34,101/72,724.50 = 72,724.50/x
3. Step 3: Cross multiply
   34,101x = 72,724.50 × 72,724.50
4. Step 4: Simplify right side
   34,101x = 5,288,852,900.25
5. Step 5: Solve for x
   x = 5,288,852,900.25/34,101
6. Step 6: Final answer
   x = 155,093.78