Finding the Third Proportional to 33,525.50 and 69,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,525.50 : 69,806.50 = 69,806.50 : x
2. Step 2: Convert to fraction form
   33,525.50/69,806.50 = 69,806.50/x
3. Step 3: Cross multiply
   33,525.50x = 69,806.50 × 69,806.50
4. Step 4: Simplify right side
   33,525.50x = 4,872,947,442.25
5. Step 5: Solve for x
   x = 4,872,947,442.25/33,525.50
6. Step 6: Final answer
   x = 145,350.48