Finding the Third Proportional to 22,166 and 47,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,166 : 47,445.50 = 47,445.50 : x
2. Step 2: Convert to fraction form
   22,166/47,445.50 = 47,445.50/x
3. Step 3: Cross multiply
   22,166x = 47,445.50 × 47,445.50
4. Step 4: Simplify right side
   22,166x = 2,251,075,470.25
5. Step 5: Solve for x
   x = 2,251,075,470.25/22,166
6. Step 6: Final answer
   x = 101,555.33