Finding the Third Proportional to 42,278 and 65,434

Step by Step Solution

1. Step 1: Write the proportion equation
   42,278 : 65,434 = 65,434 : x
2. Step 2: Convert to fraction form
   42,278/65,434 = 65,434/x
3. Step 3: Cross multiply
   42,278x = 65,434 × 65,434
4. Step 4: Simplify right side
   42,278x = 4,281,608,356
5. Step 5: Solve for x
   x = 4,281,608,356/42,278
6. Step 6: Final answer
   x = 101,272.73