Finding the Third Proportional to 6,826.16 and 14,887.53

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826.16 : 14,887.53 = 14,887.53 : x
2. Step 2: Convert to fraction form
   6,826.16/14,887.53 = 14,887.53/x
3. Step 3: Cross multiply
   6,826.16x = 14,887.53 × 14,887.53
4. Step 4: Simplify right side
   6,826.16x = 221,638,586.72
5. Step 5: Solve for x
   x = 221,638,586.72/6,826.16
6. Step 6: Final answer
   x = 32,469.02