Finding the Third Proportional to 22,496 and 32,406

Step by Step Solution

1. Step 1: Write the proportion equation
   22,496 : 32,406 = 32,406 : x
2. Step 2: Convert to fraction form
   22,496/32,406 = 32,406/x
3. Step 3: Cross multiply
   22,496x = 32,406 × 32,406
4. Step 4: Simplify right side
   22,496x = 1,050,148,836
5. Step 5: Solve for x
   x = 1,050,148,836/22,496
6. Step 6: Final answer
   x = 46,681.58