Finding the Third Proportional to 9,640 and 15,066

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640 : 15,066 = 15,066 : x
2. Step 2: Convert to fraction form
   9,640/15,066 = 15,066/x
3. Step 3: Cross multiply
   9,640x = 15,066 × 15,066
4. Step 4: Simplify right side
   9,640x = 226,984,356
5. Step 5: Solve for x
   x = 226,984,356/9,640
6. Step 6: Final answer
   x = 23,546.10