Finding the Third Proportional to 33,023 and 71,428

Step by Step Solution

1. Step 1: Write the proportion equation
   33,023 : 71,428 = 71,428 : x
2. Step 2: Convert to fraction form
   33,023/71,428 = 71,428/x
3. Step 3: Cross multiply
   33,023x = 71,428 × 71,428
4. Step 4: Simplify right side
   33,023x = 5,101,959,184
5. Step 5: Solve for x
   x = 5,101,959,184/33,023
6. Step 6: Final answer
   x = 154,497.14