Finding the Third Proportional to 7,971 and 12,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,971 : 12,469.50 = 12,469.50 : x
2. Step 2: Convert to fraction form
   7,971/12,469.50 = 12,469.50/x
3. Step 3: Cross multiply
   7,971x = 12,469.50 × 12,469.50
4. Step 4: Simplify right side
   7,971x = 155,488,430.25
5. Step 5: Solve for x
   x = 155,488,430.25/7,971
6. Step 6: Final answer
   x = 19,506.77