Finding the Third Proportional to 6,788 and 14,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788 : 14,736.50 = 14,736.50 : x
2. Step 2: Convert to fraction form
   6,788/14,736.50 = 14,736.50/x
3. Step 3: Cross multiply
   6,788x = 14,736.50 × 14,736.50
4. Step 4: Simplify right side
   6,788x = 217,164,432.25
5. Step 5: Solve for x
   x = 217,164,432.25/6,788
6. Step 6: Final answer
   x = 31,992.40