Finding the Third Proportional to 42,116 and 65,708

Step by Step Solution

1. Step 1: Write the proportion equation
   42,116 : 65,708 = 65,708 : x
2. Step 2: Convert to fraction form
   42,116/65,708 = 65,708/x
3. Step 3: Cross multiply
   42,116x = 65,708 × 65,708
4. Step 4: Simplify right side
   42,116x = 4,317,541,264
5. Step 5: Solve for x
   x = 4,317,541,264/42,116
6. Step 6: Final answer
   x = 102,515.46