Finding the Third Proportional to 10,312 and 16,007

Step by Step Solution

1. Step 1: Write the proportion equation
   10,312 : 16,007 = 16,007 : x
2. Step 2: Convert to fraction form
   10,312/16,007 = 16,007/x
3. Step 3: Cross multiply
   10,312x = 16,007 × 16,007
4. Step 4: Simplify right side
   10,312x = 256,224,049
5. Step 5: Solve for x
   x = 256,224,049/10,312
6. Step 6: Final answer
   x = 24,847.17