Finding the Third Proportional to 6,471 and 12,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,471 : 12,091.50 = 12,091.50 : x
2. Step 2: Convert to fraction form
   6,471/12,091.50 = 12,091.50/x
3. Step 3: Cross multiply
   6,471x = 12,091.50 × 12,091.50
4. Step 4: Simplify right side
   6,471x = 146,204,372.25
5. Step 5: Solve for x
   x = 146,204,372.25/6,471
6. Step 6: Final answer
   x = 22,593.78