Finding the Third Proportional to 30,746 and 65,164

Step by Step Solution

1. Step 1: Write the proportion equation
   30,746 : 65,164 = 65,164 : x
2. Step 2: Convert to fraction form
   30,746/65,164 = 65,164/x
3. Step 3: Cross multiply
   30,746x = 65,164 × 65,164
4. Step 4: Simplify right side
   30,746x = 4,246,346,896
5. Step 5: Solve for x
   x = 4,246,346,896/30,746
6. Step 6: Final answer
   x = 138,110.55