Finding the Third Proportional to 32,689 and 46,032

Step by Step Solution

1. Step 1: Write the proportion equation
   32,689 : 46,032 = 46,032 : x
2. Step 2: Convert to fraction form
   32,689/46,032 = 46,032/x
3. Step 3: Cross multiply
   32,689x = 46,032 × 46,032
4. Step 4: Simplify right side
   32,689x = 2,118,945,024
5. Step 5: Solve for x
   x = 2,118,945,024/32,689
6. Step 6: Final answer
   x = 64,821.35