Finding the Third Proportional to 41,664 and 59,382

Step by Step Solution

1. Step 1: Write the proportion equation
   41,664 : 59,382 = 59,382 : x
2. Step 2: Convert to fraction form
   41,664/59,382 = 59,382/x
3. Step 3: Cross multiply
   41,664x = 59,382 × 59,382
4. Step 4: Simplify right side
   41,664x = 3,526,221,924
5. Step 5: Solve for x
   x = 3,526,221,924/41,664
6. Step 6: Final answer
   x = 84,634.74