Finding the Third Proportional to 24,117 and 58,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,117 : 58,096.50 = 58,096.50 : x
2. Step 2: Convert to fraction form
   24,117/58,096.50 = 58,096.50/x
3. Step 3: Cross multiply
   24,117x = 58,096.50 × 58,096.50
4. Step 4: Simplify right side
   24,117x = 3,375,203,312.25
5. Step 5: Solve for x
   x = 3,375,203,312.25/24,117
6. Step 6: Final answer
   x = 139,951.21