Finding the Third Proportional to 33,626 and 72,434

Step by Step Solution

1. Step 1: Write the proportion equation
   33,626 : 72,434 = 72,434 : x
2. Step 2: Convert to fraction form
   33,626/72,434 = 72,434/x
3. Step 3: Cross multiply
   33,626x = 72,434 × 72,434
4. Step 4: Simplify right side
   33,626x = 5,246,684,356
5. Step 5: Solve for x
   x = 5,246,684,356/33,626
6. Step 6: Final answer
   x = 156,030.58