Finding the Third Proportional to 37,013.06 and 81,405.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,013.06 : 81,405.56 = 81,405.56 : x
2. Step 2: Convert to fraction form
   37,013.06/81,405.56 = 81,405.56/x
3. Step 3: Cross multiply
   37,013.06x = 81,405.56 × 81,405.56
4. Step 4: Simplify right side
   37,013.06x = 6,626,865,605.94
5. Step 5: Solve for x
   x = 6,626,865,605.94/37,013.06
6. Step 6: Final answer
   x = 179,041.27