Finding the Third Proportional to 37,926 and 57,414

Step by Step Solution

1. Step 1: Write the proportion equation
   37,926 : 57,414 = 57,414 : x
2. Step 2: Convert to fraction form
   37,926/57,414 = 57,414/x
3. Step 3: Cross multiply
   37,926x = 57,414 × 57,414
4. Step 4: Simplify right side
   37,926x = 3,296,367,396
5. Step 5: Solve for x
   x = 3,296,367,396/37,926
6. Step 6: Final answer
   x = 86,915.77