Finding the Third Proportional to 7,748 and 10,076

Step by Step Solution

1. Step 1: Write the proportion equation
   7,748 : 10,076 = 10,076 : x
2. Step 2: Convert to fraction form
   7,748/10,076 = 10,076/x
3. Step 3: Cross multiply
   7,748x = 10,076 × 10,076
4. Step 4: Simplify right side
   7,748x = 101,525,776
5. Step 5: Solve for x
   x = 101,525,776/7,748
6. Step 6: Final answer
   x = 13,103.48