Finding the Third Proportional to 35,216 and 52,640

Step by Step Solution

1. Step 1: Write the proportion equation
   35,216 : 52,640 = 52,640 : x
2. Step 2: Convert to fraction form
   35,216/52,640 = 52,640/x
3. Step 3: Cross multiply
   35,216x = 52,640 × 52,640
4. Step 4: Simplify right side
   35,216x = 2,770,969,600
5. Step 5: Solve for x
   x = 2,770,969,600/35,216
6. Step 6: Final answer
   x = 78,684.96