Finding the Third Proportional to 14,523 and 31,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,523 : 31,408.50 = 31,408.50 : x
2. Step 2: Convert to fraction form
   14,523/31,408.50 = 31,408.50/x
3. Step 3: Cross multiply
   14,523x = 31,408.50 × 31,408.50
4. Step 4: Simplify right side
   14,523x = 986,493,872.25
5. Step 5: Solve for x
   x = 986,493,872.25/14,523
6. Step 6: Final answer
   x = 67,926.31