Finding the Third Proportional to 37,076 and 57,457

Step by Step Solution

1. Step 1: Write the proportion equation
   37,076 : 57,457 = 57,457 : x
2. Step 2: Convert to fraction form
   37,076/57,457 = 57,457/x
3. Step 3: Cross multiply
   37,076x = 57,457 × 57,457
4. Step 4: Simplify right side
   37,076x = 3,301,306,849
5. Step 5: Solve for x
   x = 3,301,306,849/37,076
6. Step 6: Final answer
   x = 89,041.61