Finding the Third Proportional to 37,080.56 and 81,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,080.56 : 81,724.50 = 81,724.50 : x
2. Step 2: Convert to fraction form
   37,080.56/81,724.50 = 81,724.50/x
3. Step 3: Cross multiply
   37,080.56x = 81,724.50 × 81,724.50
4. Step 4: Simplify right side
   37,080.56x = 6,678,893,900.25
5. Step 5: Solve for x
   x = 6,678,893,900.25/37,080.56
6. Step 6: Final answer
   x = 180,118.46