Finding the Third Proportional to 22,124 and 47,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,124 : 47,766.50 = 47,766.50 : x
2. Step 2: Convert to fraction form
   22,124/47,766.50 = 47,766.50/x
3. Step 3: Cross multiply
   22,124x = 47,766.50 × 47,766.50
4. Step 4: Simplify right side
   22,124x = 2,281,638,522.25
5. Step 5: Solve for x
   x = 2,281,638,522.25/22,124
6. Step 6: Final answer
   x = 103,129.57