Finding the Third Proportional to 35,586 and 72,108

Step by Step Solution

1. Step 1: Write the proportion equation
   35,586 : 72,108 = 72,108 : x
2. Step 2: Convert to fraction form
   35,586/72,108 = 72,108/x
3. Step 3: Cross multiply
   35,586x = 72,108 × 72,108
4. Step 4: Simplify right side
   35,586x = 5,199,563,664
5. Step 5: Solve for x
   x = 5,199,563,664/35,586
6. Step 6: Final answer
   x = 146,112.62