Finding the Third Proportional to 22,142 and 32,897

Step by Step Solution

1. Step 1: Write the proportion equation
   22,142 : 32,897 = 32,897 : x
2. Step 2: Convert to fraction form
   22,142/32,897 = 32,897/x
3. Step 3: Cross multiply
   22,142x = 32,897 × 32,897
4. Step 4: Simplify right side
   22,142x = 1,082,212,609
5. Step 5: Solve for x
   x = 1,082,212,609/22,142
6. Step 6: Final answer
   x = 48,876.01