Finding the Third Proportional to 10,470 and 13,761

Step by Step Solution

1. Step 1: Write the proportion equation
   10,470 : 13,761 = 13,761 : x
2. Step 2: Convert to fraction form
   10,470/13,761 = 13,761/x
3. Step 3: Cross multiply
   10,470x = 13,761 × 13,761
4. Step 4: Simplify right side
   10,470x = 189,365,121
5. Step 5: Solve for x
   x = 189,365,121/10,470
6. Step 6: Final answer
   x = 18,086.45