Finding the Third Proportional to 38,996 and 59,314

Step by Step Solution

1. Step 1: Write the proportion equation
   38,996 : 59,314 = 59,314 : x
2. Step 2: Convert to fraction form
   38,996/59,314 = 59,314/x
3. Step 3: Cross multiply
   38,996x = 59,314 × 59,314
4. Step 4: Simplify right side
   38,996x = 3,518,150,596
5. Step 5: Solve for x
   x = 3,518,150,596/38,996
6. Step 6: Final answer
   x = 90,218.24