Finding the Third Proportional to 37,387 and 57,466

Step by Step Solution

1. Step 1: Write the proportion equation
   37,387 : 57,466 = 57,466 : x
2. Step 2: Convert to fraction form
   37,387/57,466 = 57,466/x
3. Step 3: Cross multiply
   37,387x = 57,466 × 57,466
4. Step 4: Simplify right side
   37,387x = 3,302,341,156
5. Step 5: Solve for x
   x = 3,302,341,156/37,387
6. Step 6: Final answer
   x = 88,328.59