Finding the Third Proportional to 5,891.50 and 12,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,891.50 : 12,471.50 = 12,471.50 : x
2. Step 2: Convert to fraction form
   5,891.50/12,471.50 = 12,471.50/x
3. Step 3: Cross multiply
   5,891.50x = 12,471.50 × 12,471.50
4. Step 4: Simplify right side
   5,891.50x = 155,538,312.25
5. Step 5: Solve for x
   x = 155,538,312.25/5,891.50
6. Step 6: Final answer
   x = 26,400.46