Finding the Third Proportional to 2,970.50 and 6,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,970.50 : 6,411.50 = 6,411.50 : x
2. Step 2: Convert to fraction form
   2,970.50/6,411.50 = 6,411.50/x
3. Step 3: Cross multiply
   2,970.50x = 6,411.50 × 6,411.50
4. Step 4: Simplify right side
   2,970.50x = 41,107,332.25
5. Step 5: Solve for x
   x = 41,107,332.25/2,970.50
6. Step 6: Final answer
   x = 13,838.52