Finding the Third Proportional to 9,500 and 15,046

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500 : 15,046 = 15,046 : x
2. Step 2: Convert to fraction form
   9,500/15,046 = 15,046/x
3. Step 3: Cross multiply
   9,500x = 15,046 × 15,046
4. Step 4: Simplify right side
   9,500x = 226,382,116
5. Step 5: Solve for x
   x = 226,382,116/9,500
6. Step 6: Final answer
   x = 23,829.70