Finding the Third Proportional to 42,270 and 65,414

Step by Step Solution

1. Step 1: Write the proportion equation
   42,270 : 65,414 = 65,414 : x
2. Step 2: Convert to fraction form
   42,270/65,414 = 65,414/x
3. Step 3: Cross multiply
   42,270x = 65,414 × 65,414
4. Step 4: Simplify right side
   42,270x = 4,278,991,396
5. Step 5: Solve for x
   x = 4,278,991,396/42,270
6. Step 6: Final answer
   x = 101,229.98