Finding the Third Proportional to 33,477.50 and 51,837.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,477.50 : 51,837.25 = 51,837.25 : x
2. Step 2: Convert to fraction form
   33,477.50/51,837.25 = 51,837.25/x
3. Step 3: Cross multiply
   33,477.50x = 51,837.25 × 51,837.25
4. Step 4: Simplify right side
   33,477.50x = 2,687,100,487.56
5. Step 5: Solve for x
   x = 2,687,100,487.56/33,477.50
6. Step 6: Final answer
   x = 80,265.86