Finding the Third Proportional to 23,570 and 33,507

Step by Step Solution

1. Step 1: Write the proportion equation
   23,570 : 33,507 = 33,507 : x
2. Step 2: Convert to fraction form
   23,570/33,507 = 33,507/x
3. Step 3: Cross multiply
   23,570x = 33,507 × 33,507
4. Step 4: Simplify right side
   23,570x = 1,122,719,049
5. Step 5: Solve for x
   x = 1,122,719,049/23,570
6. Step 6: Final answer
   x = 47,633.39