Finding the Third Proportional to 37,557 and 57,732.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,557 : 57,732.75 = 57,732.75 : x
2. Step 2: Convert to fraction form
   37,557/57,732.75 = 57,732.75/x
3. Step 3: Cross multiply
   37,557x = 57,732.75 × 57,732.75
4. Step 4: Simplify right side
   37,557x = 3,333,070,422.56
5. Step 5: Solve for x
   x = 3,333,070,422.56/37,557
6. Step 6: Final answer
   x = 88,746.98