Finding the Third Proportional to 37,926 and 82,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,926 : 82,657.50 = 82,657.50 : x
2. Step 2: Convert to fraction form
   37,926/82,657.50 = 82,657.50/x
3. Step 3: Cross multiply
   37,926x = 82,657.50 × 82,657.50
4. Step 4: Simplify right side
   37,926x = 6,832,262,306.25
5. Step 5: Solve for x
   x = 6,832,262,306.25/37,926
6. Step 6: Final answer
   x = 180,147.19