Finding the Third Proportional to 33,523.88 and 69,801.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,523.88 : 69,801.75 = 69,801.75 : x
2. Step 2: Convert to fraction form
   33,523.88/69,801.75 = 69,801.75/x
3. Step 3: Cross multiply
   33,523.88x = 69,801.75 × 69,801.75
4. Step 4: Simplify right side
   33,523.88x = 4,872,284,303.06
5. Step 5: Solve for x
   x = 4,872,284,303.06/33,523.88
6. Step 6: Final answer
   x = 145,337.74