Finding the Third Proportional to 6,788.25 and 14,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,788.25 : 14,539.50 = 14,539.50 : x
2. Step 2: Convert to fraction form
   6,788.25/14,539.50 = 14,539.50/x
3. Step 3: Cross multiply
   6,788.25x = 14,539.50 × 14,539.50
4. Step 4: Simplify right side
   6,788.25x = 211,397,060.25
5. Step 5: Solve for x
   x = 211,397,060.25/6,788.25
6. Step 6: Final answer
   x = 31,141.61