Finding the Third Proportional to 37,524 and 52,775.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,524 : 52,775.25 = 52,775.25 : x
2. Step 2: Convert to fraction form
   37,524/52,775.25 = 52,775.25/x
3. Step 3: Cross multiply
   37,524x = 52,775.25 × 52,775.25
4. Step 4: Simplify right side
   37,524x = 2,785,227,012.56
5. Step 5: Solve for x
   x = 2,785,227,012.56/37,524
6. Step 6: Final answer
   x = 74,225.22