Finding the Third Proportional to 23,735 and 37,065

Step by Step Solution

1. Step 1: Write the proportion equation
   23,735 : 37,065 = 37,065 : x
2. Step 2: Convert to fraction form
   23,735/37,065 = 37,065/x
3. Step 3: Cross multiply
   23,735x = 37,065 × 37,065
4. Step 4: Simplify right side
   23,735x = 1,373,814,225
5. Step 5: Solve for x
   x = 1,373,814,225/23,735
6. Step 6: Final answer
   x = 57,881.37