Finding the Third Proportional to 9,514 and 14,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514 : 14,641.50 = 14,641.50 : x
2. Step 2: Convert to fraction form
   9,514/14,641.50 = 14,641.50/x
3. Step 3: Cross multiply
   9,514x = 14,641.50 × 14,641.50
4. Step 4: Simplify right side
   9,514x = 214,373,522.25
5. Step 5: Solve for x
   x = 214,373,522.25/9,514
6. Step 6: Final answer
   x = 22,532.43