Finding the Third Proportional to 22,518 and 52,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,518 : 52,123.50 = 52,123.50 : x
2. Step 2: Convert to fraction form
   22,518/52,123.50 = 52,123.50/x
3. Step 3: Cross multiply
   22,518x = 52,123.50 × 52,123.50
4. Step 4: Simplify right side
   22,518x = 2,716,859,252.25
5. Step 5: Solve for x
   x = 2,716,859,252.25/22,518
6. Step 6: Final answer
   x = 120,652.78