Finding the Third Proportional to 30,789 and 66,499

Step by Step Solution

1. Step 1: Write the proportion equation
   30,789 : 66,499 = 66,499 : x
2. Step 2: Convert to fraction form
   30,789/66,499 = 66,499/x
3. Step 3: Cross multiply
   30,789x = 66,499 × 66,499
4. Step 4: Simplify right side
   30,789x = 4,422,117,001
5. Step 5: Solve for x
   x = 4,422,117,001/30,789
6. Step 6: Final answer
   x = 143,626.52