Finding the Third Proportional to 37,188.50 and 81,748

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188.50 : 81,748 = 81,748 : x
2. Step 2: Convert to fraction form
   37,188.50/81,748 = 81,748/x
3. Step 3: Cross multiply
   37,188.50x = 81,748 × 81,748
4. Step 4: Simplify right side
   37,188.50x = 6,682,735,504
5. Step 5: Solve for x
   x = 6,682,735,504/37,188.50
6. Step 6: Final answer
   x = 179,698.98