Finding the Third Proportional to 14,378.25 and 31,523.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,378.25 : 31,523.25 = 31,523.25 : x
2. Step 2: Convert to fraction form
   14,378.25/31,523.25 = 31,523.25/x
3. Step 3: Cross multiply
   14,378.25x = 31,523.25 × 31,523.25
4. Step 4: Simplify right side
   14,378.25x = 993,715,290.56
5. Step 5: Solve for x
   x = 993,715,290.56/14,378.25
6. Step 6: Final answer
   x = 69,112.39