Finding the Third Proportional to 37,120 and 57,566

Step by Step Solution

1. Step 1: Write the proportion equation
   37,120 : 57,566 = 57,566 : x
2. Step 2: Convert to fraction form
   37,120/57,566 = 57,566/x
3. Step 3: Cross multiply
   37,120x = 57,566 × 57,566
4. Step 4: Simplify right side
   37,120x = 3,313,844,356
5. Step 5: Solve for x
   x = 3,313,844,356/37,120
6. Step 6: Final answer
   x = 89,273.82