Finding the Third Proportional to 38,256 and 59,382

Step by Step Solution

1. Step 1: Write the proportion equation
   38,256 : 59,382 = 59,382 : x
2. Step 2: Convert to fraction form
   38,256/59,382 = 59,382/x
3. Step 3: Cross multiply
   38,256x = 59,382 × 59,382
4. Step 4: Simplify right side
   38,256x = 3,526,221,924
5. Step 5: Solve for x
   x = 3,526,221,924/38,256
6. Step 6: Final answer
   x = 92,174.35