Finding the Third Proportional to 65,340 and 103,518

Step by Step Solution

1. Step 1: Write the proportion equation
   65,340 : 103,518 = 103,518 : x
2. Step 2: Convert to fraction form
   65,340/103,518 = 103,518/x
3. Step 3: Cross multiply
   65,340x = 103,518 × 103,518
4. Step 4: Simplify right side
   65,340x = 10,715,976,324
5. Step 5: Solve for x
   x = 10,715,976,324/65,340
6. Step 6: Final answer
   x = 164,003.31