Finding the Third Proportional to 4,969 and 8,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,969 : 8,047.50 = 8,047.50 : x
2. Step 2: Convert to fraction form
   4,969/8,047.50 = 8,047.50/x
3. Step 3: Cross multiply
   4,969x = 8,047.50 × 8,047.50
4. Step 4: Simplify right side
   4,969x = 64,762,256.25
5. Step 5: Solve for x
   x = 64,762,256.25/4,969
6. Step 6: Final answer
   x = 13,033.26