Finding the Third Proportional to 42,260 and 65,816

Step by Step Solution

1. Step 1: Write the proportion equation
   42,260 : 65,816 = 65,816 : x
2. Step 2: Convert to fraction form
   42,260/65,816 = 65,816/x
3. Step 3: Cross multiply
   42,260x = 65,816 × 65,816
4. Step 4: Simplify right side
   42,260x = 4,331,745,856
5. Step 5: Solve for x
   x = 4,331,745,856/42,260
6. Step 6: Final answer
   x = 102,502.27