Finding the Third Proportional to 37,209.38 and 81,799.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,209.38 : 81,799.88 = 81,799.88 : x
2. Step 2: Convert to fraction form
   37,209.38/81,799.88 = 81,799.88/x
3. Step 3: Cross multiply
   37,209.38x = 81,799.88 × 81,799.88
4. Step 4: Simplify right side
   37,209.38x = 6,691,219,550.02
5. Step 5: Solve for x
   x = 6,691,219,550.02/37,209.38
6. Step 6: Final answer
   x = 179,826.17