Finding the Third Proportional to 6,948 and 12,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,948 : 12,136.50 = 12,136.50 : x
2. Step 2: Convert to fraction form
   6,948/12,136.50 = 12,136.50/x
3. Step 3: Cross multiply
   6,948x = 12,136.50 × 12,136.50
4. Step 4: Simplify right side
   6,948x = 147,294,632.25
5. Step 5: Solve for x
   x = 147,294,632.25/6,948
6. Step 6: Final answer
   x = 21,199.57