Finding the Third Proportional to 33,498 and 46,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,498 : 46,144.50 = 46,144.50 : x
2. Step 2: Convert to fraction form
   33,498/46,144.50 = 46,144.50/x
3. Step 3: Cross multiply
   33,498x = 46,144.50 × 46,144.50
4. Step 4: Simplify right side
   33,498x = 2,129,314,880.25
5. Step 5: Solve for x
   x = 2,129,314,880.25/33,498
6. Step 6: Final answer
   x = 63,565.43