Finding the Third Proportional to 10,312 and 13,180

Step by Step Solution

1. Step 1: Write the proportion equation
   10,312 : 13,180 = 13,180 : x
2. Step 2: Convert to fraction form
   10,312/13,180 = 13,180/x
3. Step 3: Cross multiply
   10,312x = 13,180 × 13,180
4. Step 4: Simplify right side
   10,312x = 173,712,400
5. Step 5: Solve for x
   x = 173,712,400/10,312
6. Step 6: Final answer
   x = 16,845.66