Finding the Third Proportional to 32,640 and 68,118

Step by Step Solution

1. Step 1: Write the proportion equation
   32,640 : 68,118 = 68,118 : x
2. Step 2: Convert to fraction form
   32,640/68,118 = 68,118/x
3. Step 3: Cross multiply
   32,640x = 68,118 × 68,118
4. Step 4: Simplify right side
   32,640x = 4,640,061,924
5. Step 5: Solve for x
   x = 4,640,061,924/32,640
6. Step 6: Final answer
   x = 142,158.76