Finding the Third Proportional to 37,726.50 and 82,365

Step by Step Solution

1. Step 1: Write the proportion equation
   37,726.50 : 82,365 = 82,365 : x
2. Step 2: Convert to fraction form
   37,726.50/82,365 = 82,365/x
3. Step 3: Cross multiply
   37,726.50x = 82,365 × 82,365
4. Step 4: Simplify right side
   37,726.50x = 6,783,993,225
5. Step 5: Solve for x
   x = 6,783,993,225/37,726.50
6. Step 6: Final answer
   x = 179,820.37