Finding the Third Proportional to 30,769 and 60,659

Step by Step Solution

1. Step 1: Write the proportion equation
   30,769 : 60,659 = 60,659 : x
2. Step 2: Convert to fraction form
   30,769/60,659 = 60,659/x
3. Step 3: Cross multiply
   30,769x = 60,659 × 60,659
4. Step 4: Simplify right side
   30,769x = 3,679,514,281
5. Step 5: Solve for x
   x = 3,679,514,281/30,769
6. Step 6: Final answer
   x = 119,585.11