Finding the Third Proportional to 37,402.13 and 81,957.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,402.13 : 81,957.75 = 81,957.75 : x
2. Step 2: Convert to fraction form
   37,402.13/81,957.75 = 81,957.75/x
3. Step 3: Cross multiply
   37,402.13x = 81,957.75 × 81,957.75
4. Step 4: Simplify right side
   37,402.13x = 6,717,072,785.06
5. Step 5: Solve for x
   x = 6,717,072,785.06/37,402.13
6. Step 6: Final answer
   x = 179,590.67