Finding the Third Proportional to 6,914.50 and 10,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,914.50 : 10,634.50 = 10,634.50 : x
2. Step 2: Convert to fraction form
   6,914.50/10,634.50 = 10,634.50/x
3. Step 3: Cross multiply
   6,914.50x = 10,634.50 × 10,634.50
4. Step 4: Simplify right side
   6,914.50x = 113,092,590.25
5. Step 5: Solve for x
   x = 113,092,590.25/6,914.50
6. Step 6: Final answer
   x = 16,355.86