Finding the Third Proportional to 37,256 and 72,638

Step by Step Solution

1. Step 1: Write the proportion equation
   37,256 : 72,638 = 72,638 : x
2. Step 2: Convert to fraction form
   37,256/72,638 = 72,638/x
3. Step 3: Cross multiply
   37,256x = 72,638 × 72,638
4. Step 4: Simplify right side
   37,256x = 5,276,279,044
5. Step 5: Solve for x
   x = 5,276,279,044/37,256
6. Step 6: Final answer
   x = 141,622.26