Finding the Third Proportional to 14,923 and 31,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,923 : 31,894.50 = 31,894.50 : x
2. Step 2: Convert to fraction form
   14,923/31,894.50 = 31,894.50/x
3. Step 3: Cross multiply
   14,923x = 31,894.50 × 31,894.50
4. Step 4: Simplify right side
   14,923x = 1,017,259,130.25
5. Step 5: Solve for x
   x = 1,017,259,130.25/14,923
6. Step 6: Final answer
   x = 68,167.20