Finding the Third Proportional to 38,484 and 57,980

Step by Step Solution

1. Step 1: Write the proportion equation
   38,484 : 57,980 = 57,980 : x
2. Step 2: Convert to fraction form
   38,484/57,980 = 57,980/x
3. Step 3: Cross multiply
   38,484x = 57,980 × 57,980
4. Step 4: Simplify right side
   38,484x = 3,361,680,400
5. Step 5: Solve for x
   x = 3,361,680,400/38,484
6. Step 6: Final answer
   x = 87,352.68