Finding the Third Proportional to 33,172 and 46,398

Step by Step Solution

1. Step 1: Write the proportion equation
   33,172 : 46,398 = 46,398 : x
2. Step 2: Convert to fraction form
   33,172/46,398 = 46,398/x
3. Step 3: Cross multiply
   33,172x = 46,398 × 46,398
4. Step 4: Simplify right side
   33,172x = 2,152,774,404
5. Step 5: Solve for x
   x = 2,152,774,404/33,172
6. Step 6: Final answer
   x = 64,897.34