Finding the Third Proportional to 22,281 and 47,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,281 : 47,569.50 = 47,569.50 : x
2. Step 2: Convert to fraction form
   22,281/47,569.50 = 47,569.50/x
3. Step 3: Cross multiply
   22,281x = 47,569.50 × 47,569.50
4. Step 4: Simplify right side
   22,281x = 2,262,857,330.25
5. Step 5: Solve for x
   x = 2,262,857,330.25/22,281
6. Step 6: Final answer
   x = 101,559.95