Finding the Third Proportional to 76,649 and 103,003

Step by Step Solution

1. Step 1: Write the proportion equation
   76,649 : 103,003 = 103,003 : x
2. Step 2: Convert to fraction form
   76,649/103,003 = 103,003/x
3. Step 3: Cross multiply
   76,649x = 103,003 × 103,003
4. Step 4: Simplify right side
   76,649x = 10,609,618,009
5. Step 5: Solve for x
   x = 10,609,618,009/76,649
6. Step 6: Final answer
   x = 138,418.22