Finding the Third Proportional to 16,965 and 37,633

Step by Step Solution

1. Step 1: Write the proportion equation
   16,965 : 37,633 = 37,633 : x
2. Step 2: Convert to fraction form
   16,965/37,633 = 37,633/x
3. Step 3: Cross multiply
   16,965x = 37,633 × 37,633
4. Step 4: Simplify right side
   16,965x = 1,416,242,689
5. Step 5: Solve for x
   x = 1,416,242,689/16,965
6. Step 6: Final answer
   x = 83,480.26