Finding the Third Proportional to 33,075 and 49,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,075 : 49,921.50 = 49,921.50 : x
2. Step 2: Convert to fraction form
   33,075/49,921.50 = 49,921.50/x
3. Step 3: Cross multiply
   33,075x = 49,921.50 × 49,921.50
4. Step 4: Simplify right side
   33,075x = 2,492,156,162.25
5. Step 5: Solve for x
   x = 2,492,156,162.25/33,075
6. Step 6: Final answer
   x = 75,348.64