Finding the Third Proportional to 38,794 and 59,320

Step by Step Solution

1. Step 1: Write the proportion equation
   38,794 : 59,320 = 59,320 : x
2. Step 2: Convert to fraction form
   38,794/59,320 = 59,320/x
3. Step 3: Cross multiply
   38,794x = 59,320 × 59,320
4. Step 4: Simplify right side
   38,794x = 3,518,862,400
5. Step 5: Solve for x
   x = 3,518,862,400/38,794
6. Step 6: Final answer
   x = 90,706.36