Finding the Third Proportional to 33,160 and 69,524

Step by Step Solution

1. Step 1: Write the proportion equation
   33,160 : 69,524 = 69,524 : x
2. Step 2: Convert to fraction form
   33,160/69,524 = 69,524/x
3. Step 3: Cross multiply
   33,160x = 69,524 × 69,524
4. Step 4: Simplify right side
   33,160x = 4,833,586,576
5. Step 5: Solve for x
   x = 4,833,586,576/33,160
6. Step 6: Final answer
   x = 145,765.58