Finding the Third Proportional to 6,808.43 and 14,588.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,808.43 : 14,588.86 = 14,588.86 : x
2. Step 2: Convert to fraction form
   6,808.43/14,588.86 = 14,588.86/x
3. Step 3: Cross multiply
   6,808.43x = 14,588.86 × 14,588.86
4. Step 4: Simplify right side
   6,808.43x = 212,834,817.86
5. Step 5: Solve for x
   x = 212,834,817.86/6,808.43
6. Step 6: Final answer
   x = 31,260.49