Finding the Third Proportional to 33,583.50 and 70,616.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,583.50 : 70,616.25 = 70,616.25 : x
2. Step 2: Convert to fraction form
   33,583.50/70,616.25 = 70,616.25/x
3. Step 3: Cross multiply
   33,583.50x = 70,616.25 × 70,616.25
4. Step 4: Simplify right side
   33,583.50x = 4,986,654,764.06
5. Step 5: Solve for x
   x = 4,986,654,764.06/33,583.50
6. Step 6: Final answer
   x = 148,485.26