Finding the Third Proportional to 42,840 and 65,892

Step by Step Solution

1. Step 1: Write the proportion equation
   42,840 : 65,892 = 65,892 : x
2. Step 2: Convert to fraction form
   42,840/65,892 = 65,892/x
3. Step 3: Cross multiply
   42,840x = 65,892 × 65,892
4. Step 4: Simplify right side
   42,840x = 4,341,755,664
5. Step 5: Solve for x
   x = 4,341,755,664/42,840
6. Step 6: Final answer
   x = 101,348.17