Finding the Third Proportional to 37,856.06 and 81,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,856.06 : 81,982.50 = 81,982.50 : x
2. Step 2: Convert to fraction form
   37,856.06/81,982.50 = 81,982.50/x
3. Step 3: Cross multiply
   37,856.06x = 81,982.50 × 81,982.50
4. Step 4: Simplify right side
   37,856.06x = 6,721,130,306.25
5. Step 5: Solve for x
   x = 6,721,130,306.25/37,856.06
6. Step 6: Final answer
   x = 177,544.36