Finding the Third Proportional to 23,056 and 35,663

Step by Step Solution

1. Step 1: Write the proportion equation
   23,056 : 35,663 = 35,663 : x
2. Step 2: Convert to fraction form
   23,056/35,663 = 35,663/x
3. Step 3: Cross multiply
   23,056x = 35,663 × 35,663
4. Step 4: Simplify right side
   23,056x = 1,271,849,569
5. Step 5: Solve for x
   x = 1,271,849,569/23,056
6. Step 6: Final answer
   x = 55,163.50