Finding the Third Proportional to 7,897.50 and 12,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,897.50 : 12,136.50 = 12,136.50 : x
2. Step 2: Convert to fraction form
   7,897.50/12,136.50 = 12,136.50/x
3. Step 3: Cross multiply
   7,897.50x = 12,136.50 × 12,136.50
4. Step 4: Simplify right side
   7,897.50x = 147,294,632.25
5. Step 5: Solve for x
   x = 147,294,632.25/7,897.50
6. Step 6: Final answer
   x = 18,650.79