Finding the Third Proportional to 37,657.50 and 81,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,657.50 : 81,874.50 = 81,874.50 : x
2. Step 2: Convert to fraction form
   37,657.50/81,874.50 = 81,874.50/x
3. Step 3: Cross multiply
   37,657.50x = 81,874.50 × 81,874.50
4. Step 4: Simplify right side
   37,657.50x = 6,703,433,750.25
5. Step 5: Solve for x
   x = 6,703,433,750.25/37,657.50
6. Step 6: Final answer
   x = 178,010.59