Finding the Third Proportional to 42,464 and 65,328

Step by Step Solution

1. Step 1: Write the proportion equation
   42,464 : 65,328 = 65,328 : x
2. Step 2: Convert to fraction form
   42,464/65,328 = 65,328/x
3. Step 3: Cross multiply
   42,464x = 65,328 × 65,328
4. Step 4: Simplify right side
   42,464x = 4,267,747,584
5. Step 5: Solve for x
   x = 4,267,747,584/42,464
6. Step 6: Final answer
   x = 100,502.72