Finding the Third Proportional to 7,712 and 10,253

Step by Step Solution

1. Step 1: Write the proportion equation
   7,712 : 10,253 = 10,253 : x
2. Step 2: Convert to fraction form
   7,712/10,253 = 10,253/x
3. Step 3: Cross multiply
   7,712x = 10,253 × 10,253
4. Step 4: Simplify right side
   7,712x = 105,124,009
5. Step 5: Solve for x
   x = 105,124,009/7,712
6. Step 6: Final answer
   x = 13,631.23