Finding the Third Proportional to 37,207.13 and 81,640.55

Step by Step Solution

1. Step 1: Write the proportion equation
   37,207.13 : 81,640.55 = 81,640.55 : x
2. Step 2: Convert to fraction form
   37,207.13/81,640.55 = 81,640.55/x
3. Step 3: Cross multiply
   37,207.13x = 81,640.55 × 81,640.55
4. Step 4: Simplify right side
   37,207.13x = 6,665,178,894.05
5. Step 5: Solve for x
   x = 6,665,178,894.05/37,207.13
6. Step 6: Final answer
   x = 179,137.17