Finding the Third Proportional to 35,124 and 65,262

Step by Step Solution

1. Step 1: Write the proportion equation
   35,124 : 65,262 = 65,262 : x
2. Step 2: Convert to fraction form
   35,124/65,262 = 65,262/x
3. Step 3: Cross multiply
   35,124x = 65,262 × 65,262
4. Step 4: Simplify right side
   35,124x = 4,259,128,644
5. Step 5: Solve for x
   x = 4,259,128,644/35,124
6. Step 6: Final answer
   x = 121,259.78