Finding the Third Proportional to 37,037 and 57,437

Step by Step Solution

1. Step 1: Write the proportion equation
   37,037 : 57,437 = 57,437 : x
2. Step 2: Convert to fraction form
   37,037/57,437 = 57,437/x
3. Step 3: Cross multiply
   37,037x = 57,437 × 57,437
4. Step 4: Simplify right side
   37,037x = 3,299,008,969
5. Step 5: Solve for x
   x = 3,299,008,969/37,037
6. Step 6: Final answer
   x = 89,073.33