Finding the Third Proportional to 6,967.50 and 14,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,967.50 : 14,906.50 = 14,906.50 : x
2. Step 2: Convert to fraction form
   6,967.50/14,906.50 = 14,906.50/x
3. Step 3: Cross multiply
   6,967.50x = 14,906.50 × 14,906.50
4. Step 4: Simplify right side
   6,967.50x = 222,203,742.25
5. Step 5: Solve for x
   x = 222,203,742.25/6,967.50
6. Step 6: Final answer
   x = 31,891.46