Finding the Third Proportional to 37,414 and 57,435

Step by Step Solution

1. Step 1: Write the proportion equation
   37,414 : 57,435 = 57,435 : x
2. Step 2: Convert to fraction form
   37,414/57,435 = 57,435/x
3. Step 3: Cross multiply
   37,414x = 57,435 × 57,435
4. Step 4: Simplify right side
   37,414x = 3,298,779,225
5. Step 5: Solve for x
   x = 3,298,779,225/37,414
6. Step 6: Final answer
   x = 88,169.65