Finding the Third Proportional to 6,632.25 and 14,494.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,632.25 : 14,494.69 = 14,494.69 : x
2. Step 2: Convert to fraction form
   6,632.25/14,494.69 = 14,494.69/x
3. Step 3: Cross multiply
   6,632.25x = 14,494.69 × 14,494.69
4. Step 4: Simplify right side
   6,632.25x = 210,095,965.72
5. Step 5: Solve for x
   x = 210,095,965.72/6,632.25
6. Step 6: Final answer
   x = 31,677.93