Finding the Third Proportional to 37,854.50 and 81,979.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,854.50 : 81,979.50 = 81,979.50 : x
2. Step 2: Convert to fraction form
   37,854.50/81,979.50 = 81,979.50/x
3. Step 3: Cross multiply
   37,854.50x = 81,979.50 × 81,979.50
4. Step 4: Simplify right side
   37,854.50x = 6,720,638,420.25
5. Step 5: Solve for x
   x = 6,720,638,420.25/37,854.50
6. Step 6: Final answer
   x = 177,538.69