Finding the Third Proportional to 5,025.38 and 7,970.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,025.38 : 7,970.06 = 7,970.06 : x
2. Step 2: Convert to fraction form
   5,025.38/7,970.06 = 7,970.06/x
3. Step 3: Cross multiply
   5,025.38x = 7,970.06 × 7,970.06
4. Step 4: Simplify right side
   5,025.38x = 63,521,896.25
5. Step 5: Solve for x
   x = 63,521,896.25/5,025.38
6. Step 6: Final answer
   x = 12,640.23