Finding the Third Proportional to 7,748 and 12,014

Step by Step Solution

1. Step 1: Write the proportion equation
   7,748 : 12,014 = 12,014 : x
2. Step 2: Convert to fraction form
   7,748/12,014 = 12,014/x
3. Step 3: Cross multiply
   7,748x = 12,014 × 12,014
4. Step 4: Simplify right side
   7,748x = 144,336,196
5. Step 5: Solve for x
   x = 144,336,196/7,748
6. Step 6: Final answer
   x = 18,628.83