Finding the Third Proportional to 6,826.50 and 14,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826.50 : 14,746.50 = 14,746.50 : x
2. Step 2: Convert to fraction form
   6,826.50/14,746.50 = 14,746.50/x
3. Step 3: Cross multiply
   6,826.50x = 14,746.50 × 14,746.50
4. Step 4: Simplify right side
   6,826.50x = 217,459,262.25
5. Step 5: Solve for x
   x = 217,459,262.25/6,826.50
6. Step 6: Final answer
   x = 31,855.16