Finding the Third Proportional to 10,312 and 15,665

Step by Step Solution

1. Step 1: Write the proportion equation
   10,312 : 15,665 = 15,665 : x
2. Step 2: Convert to fraction form
   10,312/15,665 = 15,665/x
3. Step 3: Cross multiply
   10,312x = 15,665 × 15,665
4. Step 4: Simplify right side
   10,312x = 245,392,225
5. Step 5: Solve for x
   x = 245,392,225/10,312
6. Step 6: Final answer
   x = 23,796.76