Finding the Third Proportional to 33,523 and 49,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,523 : 49,704.50 = 49,704.50 : x
2. Step 2: Convert to fraction form
   33,523/49,704.50 = 49,704.50/x
3. Step 3: Cross multiply
   33,523x = 49,704.50 × 49,704.50
4. Step 4: Simplify right side
   33,523x = 2,470,537,320.25
5. Step 5: Solve for x
   x = 2,470,537,320.25/33,523
6. Step 6: Final answer
   x = 73,696.78