Finding the Third Proportional to 22,096 and 32,715

Step by Step Solution

1. Step 1: Write the proportion equation
   22,096 : 32,715 = 32,715 : x
2. Step 2: Convert to fraction form
   22,096/32,715 = 32,715/x
3. Step 3: Cross multiply
   22,096x = 32,715 × 32,715
4. Step 4: Simplify right side
   22,096x = 1,070,271,225
5. Step 5: Solve for x
   x = 1,070,271,225/22,096
6. Step 6: Final answer
   x = 48,437.33