Finding the Third Proportional to 42,020 and 65,056

Step by Step Solution

1. Step 1: Write the proportion equation
   42,020 : 65,056 = 65,056 : x
2. Step 2: Convert to fraction form
   42,020/65,056 = 65,056/x
3. Step 3: Cross multiply
   42,020x = 65,056 × 65,056
4. Step 4: Simplify right side
   42,020x = 4,232,283,136
5. Step 5: Solve for x
   x = 4,232,283,136/42,020
6. Step 6: Final answer
   x = 100,720.68