Finding the Third Proportional to 33,647.50 and 70,780.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,647.50 : 70,780.75 = 70,780.75 : x
2. Step 2: Convert to fraction form
   33,647.50/70,780.75 = 70,780.75/x
3. Step 3: Cross multiply
   33,647.50x = 70,780.75 × 70,780.75
4. Step 4: Simplify right side
   33,647.50x = 5,009,914,570.56
5. Step 5: Solve for x
   x = 5,009,914,570.56/33,647.50
6. Step 6: Final answer
   x = 148,894.11