Finding the Third Proportional to 22,570 and 47,460

Step by Step Solution

1. Step 1: Write the proportion equation
   22,570 : 47,460 = 47,460 : x
2. Step 2: Convert to fraction form
   22,570/47,460 = 47,460/x
3. Step 3: Cross multiply
   22,570x = 47,460 × 47,460
4. Step 4: Simplify right side
   22,570x = 2,252,451,600
5. Step 5: Solve for x
   x = 2,252,451,600/22,570
6. Step 6: Final answer
   x = 99,798.48