Finding the Third Proportional to 37,452.94 and 81,902.53

Step by Step Solution

1. Step 1: Write the proportion equation
   37,452.94 : 81,902.53 = 81,902.53 : x
2. Step 2: Convert to fraction form
   37,452.94/81,902.53 = 81,902.53/x
3. Step 3: Cross multiply
   37,452.94x = 81,902.53 × 81,902.53
4. Step 4: Simplify right side
   37,452.94x = 6,708,024,625.16
5. Step 5: Solve for x
   x = 6,708,024,625.16/37,452.94
6. Step 6: Final answer
   x = 179,105.43