Finding the Third Proportional to 9,902 and 10,739

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902 : 10,739 = 10,739 : x
2. Step 2: Convert to fraction form
   9,902/10,739 = 10,739/x
3. Step 3: Cross multiply
   9,902x = 10,739 × 10,739
4. Step 4: Simplify right side
   9,902x = 115,326,121
5. Step 5: Solve for x
   x = 115,326,121/9,902
6. Step 6: Final answer
   x = 11,646.75