Finding the Third Proportional to 6,718.50 and 14,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,718.50 : 14,566.50 = 14,566.50 : x
2. Step 2: Convert to fraction form
   6,718.50/14,566.50 = 14,566.50/x
3. Step 3: Cross multiply
   6,718.50x = 14,566.50 × 14,566.50
4. Step 4: Simplify right side
   6,718.50x = 212,182,922.25
5. Step 5: Solve for x
   x = 212,182,922.25/6,718.50
6. Step 6: Final answer
   x = 31,581.89