Finding the Third Proportional to 3,085.31 and 6,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,085.31 : 6,520.50 = 6,520.50 : x
2. Step 2: Convert to fraction form
   3,085.31/6,520.50 = 6,520.50/x
3. Step 3: Cross multiply
   3,085.31x = 6,520.50 × 6,520.50
4. Step 4: Simplify right side
   3,085.31x = 42,516,920.25
5. Step 5: Solve for x
   x = 42,516,920.25/3,085.31
6. Step 6: Final answer
   x = 13,780.43