Finding the Third Proportional to 33,523 and 69,826

Step by Step Solution

1. Step 1: Write the proportion equation
   33,523 : 69,826 = 69,826 : x
2. Step 2: Convert to fraction form
   33,523/69,826 = 69,826/x
3. Step 3: Cross multiply
   33,523x = 69,826 × 69,826
4. Step 4: Simplify right side
   33,523x = 4,875,670,276
5. Step 5: Solve for x
   x = 4,875,670,276/33,523
6. Step 6: Final answer
   x = 145,442.54