Finding the Third Proportional to 37,255 and 72,636

Step by Step Solution

1. Step 1: Write the proportion equation
   37,255 : 72,636 = 72,636 : x
2. Step 2: Convert to fraction form
   37,255/72,636 = 72,636/x
3. Step 3: Cross multiply
   37,255x = 72,636 × 72,636
4. Step 4: Simplify right side
   37,255x = 5,275,988,496
5. Step 5: Solve for x
   x = 5,275,988,496/37,255
6. Step 6: Final answer
   x = 141,618.27