Finding the Third Proportional to 22,129.50 and 47,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,129.50 : 47,780.50 = 47,780.50 : x
2. Step 2: Convert to fraction form
   22,129.50/47,780.50 = 47,780.50/x
3. Step 3: Cross multiply
   22,129.50x = 47,780.50 × 47,780.50
4. Step 4: Simplify right side
   22,129.50x = 2,282,976,180.25
5. Step 5: Solve for x
   x = 2,282,976,180.25/22,129.50
6. Step 6: Final answer
   x = 103,164.38