Finding the Third Proportional to 37,999.50 and 82,688.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,999.50 : 82,688.25 = 82,688.25 : x
2. Step 2: Convert to fraction form
   37,999.50/82,688.25 = 82,688.25/x
3. Step 3: Cross multiply
   37,999.50x = 82,688.25 × 82,688.25
4. Step 4: Simplify right side
   37,999.50x = 6,837,346,688.06
5. Step 5: Solve for x
   x = 6,837,346,688.06/37,999.50
6. Step 6: Final answer
   x = 179,932.54