Finding the Third Proportional to 22,414 and 32,570

Step by Step Solution

1. Step 1: Write the proportion equation
   22,414 : 32,570 = 32,570 : x
2. Step 2: Convert to fraction form
   22,414/32,570 = 32,570/x
3. Step 3: Cross multiply
   22,414x = 32,570 × 32,570
4. Step 4: Simplify right side
   22,414x = 1,060,804,900
5. Step 5: Solve for x
   x = 1,060,804,900/22,414
6. Step 6: Final answer
   x = 47,327.78