Finding the Third Proportional to 57,649 and 89,031

Step by Step Solution

1. Step 1: Write the proportion equation
   57,649 : 89,031 = 89,031 : x
2. Step 2: Convert to fraction form
   57,649/89,031 = 89,031/x
3. Step 3: Cross multiply
   57,649x = 89,031 × 89,031
4. Step 4: Simplify right side
   57,649x = 7,926,518,961
5. Step 5: Solve for x
   x = 7,926,518,961/57,649
6. Step 6: Final answer
   x = 137,496.21