Finding the Third Proportional to 11,614 and 16,934.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,614 : 16,934.50 = 16,934.50 : x
2. Step 2: Convert to fraction form
   11,614/16,934.50 = 16,934.50/x
3. Step 3: Cross multiply
   11,614x = 16,934.50 × 16,934.50
4. Step 4: Simplify right side
   11,614x = 286,777,290.25
5. Step 5: Solve for x
   x = 286,777,290.25/11,614
6. Step 6: Final answer
   x = 24,692.38