Finding the Third Proportional to 37,122 and 57,569

Step by Step Solution

1. Step 1: Write the proportion equation
   37,122 : 57,569 = 57,569 : x
2. Step 2: Convert to fraction form
   37,122/57,569 = 57,569/x
3. Step 3: Cross multiply
   37,122x = 57,569 × 57,569
4. Step 4: Simplify right side
   37,122x = 3,314,189,761
5. Step 5: Solve for x
   x = 3,314,189,761/37,122
6. Step 6: Final answer
   x = 89,278.32