Finding the Third Proportional to 7,816.50 and 12,281.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,816.50 : 12,281.63 = 12,281.63 : x
2. Step 2: Convert to fraction form
   7,816.50/12,281.63 = 12,281.63/x
3. Step 3: Cross multiply
   7,816.50x = 12,281.63 × 12,281.63
4. Step 4: Simplify right side
   7,816.50x = 150,838,312.64
5. Step 5: Solve for x
   x = 150,838,312.64/7,816.50
6. Step 6: Final answer
   x = 19,297.42