Finding the Third Proportional to 5,611.50 and 12,314.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,611.50 : 12,314.25 = 12,314.25 : x
2. Step 2: Convert to fraction form
   5,611.50/12,314.25 = 12,314.25/x
3. Step 3: Cross multiply
   5,611.50x = 12,314.25 × 12,314.25
4. Step 4: Simplify right side
   5,611.50x = 151,640,753.06
5. Step 5: Solve for x
   x = 151,640,753.06/5,611.50
6. Step 6: Final answer
   x = 27,023.21