Finding the Third Proportional to 37,209.75 and 81,405.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,209.75 : 81,405.38 = 81,405.38 : x
2. Step 2: Convert to fraction form
   37,209.75/81,405.38 = 81,405.38/x
3. Step 3: Cross multiply
   37,209.75x = 81,405.38 × 81,405.38
4. Step 4: Simplify right side
   37,209.75x = 6,626,835,078.89
5. Step 5: Solve for x
   x = 6,626,835,078.89/37,209.75
6. Step 6: Final answer
   x = 178,094.05