Finding the Third Proportional to 38,582 and 57,981

Step by Step Solution

1. Step 1: Write the proportion equation
   38,582 : 57,981 = 57,981 : x
2. Step 2: Convert to fraction form
   38,582/57,981 = 57,981/x
3. Step 3: Cross multiply
   38,582x = 57,981 × 57,981
4. Step 4: Simplify right side
   38,582x = 3,361,796,361
5. Step 5: Solve for x
   x = 3,361,796,361/38,582
6. Step 6: Final answer
   x = 87,133.80