Finding the Third Proportional to 5,182.59 and 7,970.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,182.59 : 7,970.63 = 7,970.63 : x
2. Step 2: Convert to fraction form
   5,182.59/7,970.63 = 7,970.63/x
3. Step 3: Cross multiply
   5,182.59x = 7,970.63 × 7,970.63
4. Step 4: Simplify right side
   5,182.59x = 63,530,862.89
5. Step 5: Solve for x
   x = 63,530,862.89/5,182.59
6. Step 6: Final answer
   x = 12,258.51