Finding the Third Proportional to 37,114 and 57,397

Step by Step Solution

1. Step 1: Write the proportion equation
   37,114 : 57,397 = 57,397 : x
2. Step 2: Convert to fraction form
   37,114/57,397 = 57,397/x
3. Step 3: Cross multiply
   37,114x = 57,397 × 57,397
4. Step 4: Simplify right side
   37,114x = 3,294,415,609
5. Step 5: Solve for x
   x = 3,294,415,609/37,114
6. Step 6: Final answer
   x = 88,764.77