Finding the Third Proportional to 38,492 and 57,738

Step by Step Solution

1. Step 1: Write the proportion equation
   38,492 : 57,738 = 57,738 : x
2. Step 2: Convert to fraction form
   38,492/57,738 = 57,738/x
3. Step 3: Cross multiply
   38,492x = 57,738 × 57,738
4. Step 4: Simplify right side
   38,492x = 3,333,676,644
5. Step 5: Solve for x
   x = 3,333,676,644/38,492
6. Step 6: Final answer
   x = 86,607