Finding the Third Proportional to 37,188.50 and 81,724

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188.50 : 81,724 = 81,724 : x
2. Step 2: Convert to fraction form
   37,188.50/81,724 = 81,724/x
3. Step 3: Cross multiply
   37,188.50x = 81,724 × 81,724
4. Step 4: Simplify right side
   37,188.50x = 6,678,812,176
5. Step 5: Solve for x
   x = 6,678,812,176/37,188.50
6. Step 6: Final answer
   x = 179,593.48