Finding the Third Proportional to 33,583.50 and 47,072.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,583.50 : 47,072.25 = 47,072.25 : x
2. Step 2: Convert to fraction form
   33,583.50/47,072.25 = 47,072.25/x
3. Step 3: Cross multiply
   33,583.50x = 47,072.25 × 47,072.25
4. Step 4: Simplify right side
   33,583.50x = 2,215,796,720.06
5. Step 5: Solve for x
   x = 2,215,796,720.06/33,583.50
6. Step 6: Final answer
   x = 65,978.73