Finding the Third Proportional to 5,869.50 and 12,222

Step by Step Solution

1. Step 1: Write the proportion equation
   5,869.50 : 12,222 = 12,222 : x
2. Step 2: Convert to fraction form
   5,869.50/12,222 = 12,222/x
3. Step 3: Cross multiply
   5,869.50x = 12,222 × 12,222
4. Step 4: Simplify right side
   5,869.50x = 149,377,284
5. Step 5: Solve for x
   x = 149,377,284/5,869.50
6. Step 6: Final answer
   x = 25,449.75