Finding the Third Proportional to 37,078 and 57,461

Step by Step Solution

1. Step 1: Write the proportion equation
   37,078 : 57,461 = 57,461 : x
2. Step 2: Convert to fraction form
   37,078/57,461 = 57,461/x
3. Step 3: Cross multiply
   37,078x = 57,461 × 57,461
4. Step 4: Simplify right side
   37,078x = 3,301,766,521
5. Step 5: Solve for x
   x = 3,301,766,521/37,078
6. Step 6: Final answer
   x = 89,049.21