Finding the Third Proportional to 33,647.50 and 70,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,647.50 : 70,782.50 = 70,782.50 : x
2. Step 2: Convert to fraction form
   33,647.50/70,782.50 = 70,782.50/x
3. Step 3: Cross multiply
   33,647.50x = 70,782.50 × 70,782.50
4. Step 4: Simplify right side
   33,647.50x = 5,010,162,306.25
5. Step 5: Solve for x
   x = 5,010,162,306.25/33,647.50
6. Step 6: Final answer
   x = 148,901.47