Finding the Third Proportional to 37,449 and 81,510.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,449 : 81,510.75 = 81,510.75 : x
2. Step 2: Convert to fraction form
   37,449/81,510.75 = 81,510.75/x
3. Step 3: Cross multiply
   37,449x = 81,510.75 × 81,510.75
4. Step 4: Simplify right side
   37,449x = 6,644,002,365.56
5. Step 5: Solve for x
   x = 6,644,002,365.56/37,449
6. Step 6: Final answer
   x = 177,414.68