Finding the Third Proportional to 22,534 and 32,458

Step by Step Solution

1. Step 1: Write the proportion equation
   22,534 : 32,458 = 32,458 : x
2. Step 2: Convert to fraction form
   22,534/32,458 = 32,458/x
3. Step 3: Cross multiply
   22,534x = 32,458 × 32,458
4. Step 4: Simplify right side
   22,534x = 1,053,521,764
5. Step 5: Solve for x
   x = 1,053,521,764/22,534
6. Step 6: Final answer
   x = 46,752.54