Finding the Third Proportional to 33,202.50 and 51,410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,202.50 : 51,410.25 = 51,410.25 : x
2. Step 2: Convert to fraction form
   33,202.50/51,410.25 = 51,410.25/x
3. Step 3: Cross multiply
   33,202.50x = 51,410.25 × 51,410.25
4. Step 4: Simplify right side
   33,202.50x = 2,643,013,805.06
5. Step 5: Solve for x
   x = 2,643,013,805.06/33,202.50
6. Step 6: Final answer
   x = 79,602.86