Finding the Third Proportional to 30,687 and 65,054

Step by Step Solution

1. Step 1: Write the proportion equation
   30,687 : 65,054 = 65,054 : x
2. Step 2: Convert to fraction form
   30,687/65,054 = 65,054/x
3. Step 3: Cross multiply
   30,687x = 65,054 × 65,054
4. Step 4: Simplify right side
   30,687x = 4,232,022,916
5. Step 5: Solve for x
   x = 4,232,022,916/30,687
6. Step 6: Final answer
   x = 137,909.31