Finding the Third Proportional to 22,140 and 32,896

Step by Step Solution

1. Step 1: Write the proportion equation
   22,140 : 32,896 = 32,896 : x
2. Step 2: Convert to fraction form
   22,140/32,896 = 32,896/x
3. Step 3: Cross multiply
   22,140x = 32,896 × 32,896
4. Step 4: Simplify right side
   22,140x = 1,082,146,816
5. Step 5: Solve for x
   x = 1,082,146,816/22,140
6. Step 6: Final answer
   x = 48,877.45