Finding the Third Proportional to 42,496 and 65,574

Step by Step Solution

1. Step 1: Write the proportion equation
   42,496 : 65,574 = 65,574 : x
2. Step 2: Convert to fraction form
   42,496/65,574 = 65,574/x
3. Step 3: Cross multiply
   42,496x = 65,574 × 65,574
4. Step 4: Simplify right side
   42,496x = 4,299,949,476
5. Step 5: Solve for x
   x = 4,299,949,476/42,496
6. Step 6: Final answer
   x = 101,184.81