Finding the Third Proportional to 37,998 and 87,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,998 : 87,136.50 = 87,136.50 : x
2. Step 2: Convert to fraction form
   37,998/87,136.50 = 87,136.50/x
3. Step 3: Cross multiply
   37,998x = 87,136.50 × 87,136.50
4. Step 4: Simplify right side
   37,998x = 7,592,769,632.25
5. Step 5: Solve for x
   x = 7,592,769,632.25/37,998
6. Step 6: Final answer
   x = 199,820.24