Finding the Third Proportional to 37,386 and 57,882

Step by Step Solution

1. Step 1: Write the proportion equation
   37,386 : 57,882 = 57,882 : x
2. Step 2: Convert to fraction form
   37,386/57,882 = 57,882/x
3. Step 3: Cross multiply
   37,386x = 57,882 × 57,882
4. Step 4: Simplify right side
   37,386x = 3,350,325,924
5. Step 5: Solve for x
   x = 3,350,325,924/37,386
6. Step 6: Final answer
   x = 89,614.45