Finding the Third Proportional to 5,025.16 and 7,969.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,025.16 : 7,969.32 = 7,969.32 : x
2. Step 2: Convert to fraction form
   5,025.16/7,969.32 = 7,969.32/x
3. Step 3: Cross multiply
   5,025.16x = 7,969.32 × 7,969.32
4. Step 4: Simplify right side
   5,025.16x = 63,510,128.50
5. Step 5: Solve for x
   x = 63,510,128.50/5,025.16
6. Step 6: Final answer
   x = 12,638.42