Finding the Third Proportional to 42,218 and 65,367

Step by Step Solution

1. Step 1: Write the proportion equation
   42,218 : 65,367 = 65,367 : x
2. Step 2: Convert to fraction form
   42,218/65,367 = 65,367/x
3. Step 3: Cross multiply
   42,218x = 65,367 × 65,367
4. Step 4: Simplify right side
   42,218x = 4,272,844,689
5. Step 5: Solve for x
   x = 4,272,844,689/42,218
6. Step 6: Final answer
   x = 101,209.07