Finding the Third Proportional to 33,429 and 69,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,429 : 69,222.75 = 69,222.75 : x
2. Step 2: Convert to fraction form
   33,429/69,222.75 = 69,222.75/x
3. Step 3: Cross multiply
   33,429x = 69,222.75 × 69,222.75
4. Step 4: Simplify right side
   33,429x = 4,791,789,117.56
5. Step 5: Solve for x
   x = 4,791,789,117.56/33,429
6. Step 6: Final answer
   x = 143,342.28