Finding the Third Proportional to 37,978.50 and 81,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,978.50 : 81,793.50 = 81,793.50 : x
2. Step 2: Convert to fraction form
   37,978.50/81,793.50 = 81,793.50/x
3. Step 3: Cross multiply
   37,978.50x = 81,793.50 × 81,793.50
4. Step 4: Simplify right side
   37,978.50x = 6,690,176,642.25
5. Step 5: Solve for x
   x = 6,690,176,642.25/37,978.50
6. Step 6: Final answer
   x = 176,156.95