Finding the Third Proportional to 38,434 and 59,382

Step by Step Solution

1. Step 1: Write the proportion equation
   38,434 : 59,382 = 59,382 : x
2. Step 2: Convert to fraction form
   38,434/59,382 = 59,382/x
3. Step 3: Cross multiply
   38,434x = 59,382 × 59,382
4. Step 4: Simplify right side
   38,434x = 3,526,221,924
5. Step 5: Solve for x
   x = 3,526,221,924/38,434
6. Step 6: Final answer
   x = 91,747.46