Finding the Third Proportional to 76,648 and 103,002

Step by Step Solution

1. Step 1: Write the proportion equation
   76,648 : 103,002 = 103,002 : x
2. Step 2: Convert to fraction form
   76,648/103,002 = 103,002/x
3. Step 3: Cross multiply
   76,648x = 103,002 × 103,002
4. Step 4: Simplify right side
   76,648x = 10,609,412,004
5. Step 5: Solve for x
   x = 10,609,412,004/76,648
6. Step 6: Final answer
   x = 138,417.34