Finding the Third Proportional to 33,174 and 69,423

Step by Step Solution

1. Step 1: Write the proportion equation
   33,174 : 69,423 = 69,423 : x
2. Step 2: Convert to fraction form
   33,174/69,423 = 69,423/x
3. Step 3: Cross multiply
   33,174x = 69,423 × 69,423
4. Step 4: Simplify right side
   33,174x = 4,819,552,929
5. Step 5: Solve for x
   x = 4,819,552,929/33,174
6. Step 6: Final answer
   x = 145,281.03