Finding the Third Proportional to 42,265 and 65,409

Step by Step Solution

1. Step 1: Write the proportion equation
   42,265 : 65,409 = 65,409 : x
2. Step 2: Convert to fraction form
   42,265/65,409 = 65,409/x
3. Step 3: Cross multiply
   42,265x = 65,409 × 65,409
4. Step 4: Simplify right side
   42,265x = 4,278,337,281
5. Step 5: Solve for x
   x = 4,278,337,281/42,265
6. Step 6: Final answer
   x = 101,226.48