Finding the Third Proportional to 42,820 and 65,897

Step by Step Solution

1. Step 1: Write the proportion equation
   42,820 : 65,897 = 65,897 : x
2. Step 2: Convert to fraction form
   42,820/65,897 = 65,897/x
3. Step 3: Cross multiply
   42,820x = 65,897 × 65,897
4. Step 4: Simplify right side
   42,820x = 4,342,414,609
5. Step 5: Solve for x
   x = 4,342,414,609/42,820
6. Step 6: Final answer
   x = 101,410.90