Finding the Third Proportional to 23,882 and 37,655

Step by Step Solution

1. Step 1: Write the proportion equation
   23,882 : 37,655 = 37,655 : x
2. Step 2: Convert to fraction form
   23,882/37,655 = 37,655/x
3. Step 3: Cross multiply
   23,882x = 37,655 × 37,655
4. Step 4: Simplify right side
   23,882x = 1,417,899,025
5. Step 5: Solve for x
   x = 1,417,899,025/23,882
6. Step 6: Final answer
   x = 59,371.03