Finding the Third Proportional to 33,114 and 64,563

Step by Step Solution

1. Step 1: Write the proportion equation
   33,114 : 64,563 = 64,563 : x
2. Step 2: Convert to fraction form
   33,114/64,563 = 64,563/x
3. Step 3: Cross multiply
   33,114x = 64,563 × 64,563
4. Step 4: Simplify right side
   33,114x = 4,168,380,969
5. Step 5: Solve for x
   x = 4,168,380,969/33,114
6. Step 6: Final answer
   x = 125,879.72