Finding the Third Proportional to 6,978 and 14,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 14,734.50 = 14,734.50 : x
2. Step 2: Convert to fraction form
   6,978/14,734.50 = 14,734.50/x
3. Step 3: Cross multiply
   6,978x = 14,734.50 × 14,734.50
4. Step 4: Simplify right side
   6,978x = 217,105,490.25
5. Step 5: Solve for x
   x = 217,105,490.25/6,978
6. Step 6: Final answer
   x = 31,112.85