Finding the Third Proportional to 32,967 and 37,395

Step by Step Solution

1. Step 1: Write the proportion equation
   32,967 : 37,395 = 37,395 : x
2. Step 2: Convert to fraction form
   32,967/37,395 = 37,395/x
3. Step 3: Cross multiply
   32,967x = 37,395 × 37,395
4. Step 4: Simplify right side
   32,967x = 1,398,386,025
5. Step 5: Solve for x
   x = 1,398,386,025/32,967
6. Step 6: Final answer
   x = 42,417.75