Finding the Third Proportional to 22,166 and 47,810

Step by Step Solution

1. Step 1: Write the proportion equation
   22,166 : 47,810 = 47,810 : x
2. Step 2: Convert to fraction form
   22,166/47,810 = 47,810/x
3. Step 3: Cross multiply
   22,166x = 47,810 × 47,810
4. Step 4: Simplify right side
   22,166x = 2,285,796,100
5. Step 5: Solve for x
   x = 2,285,796,100/22,166
6. Step 6: Final answer
   x = 103,121.72