Finding the Third Proportional to 42,286 and 65,850

Step by Step Solution

1. Step 1: Write the proportion equation
   42,286 : 65,850 = 65,850 : x
2. Step 2: Convert to fraction form
   42,286/65,850 = 65,850/x
3. Step 3: Cross multiply
   42,286x = 65,850 × 65,850
4. Step 4: Simplify right side
   42,286x = 4,336,222,500
5. Step 5: Solve for x
   x = 4,336,222,500/42,286
6. Step 6: Final answer
   x = 102,545.11