Finding the Third Proportional to 34,118 and 52,897

Step by Step Solution

1. Step 1: Write the proportion equation
   34,118 : 52,897 = 52,897 : x
2. Step 2: Convert to fraction form
   34,118/52,897 = 52,897/x
3. Step 3: Cross multiply
   34,118x = 52,897 × 52,897
4. Step 4: Simplify right side
   34,118x = 2,798,092,609
5. Step 5: Solve for x
   x = 2,798,092,609/34,118
6. Step 6: Final answer
   x = 82,012.21