Finding the Third Proportional to 35,438 and 73,108

Step by Step Solution

1. Step 1: Write the proportion equation
   35,438 : 73,108 = 73,108 : x
2. Step 2: Convert to fraction form
   35,438/73,108 = 73,108/x
3. Step 3: Cross multiply
   35,438x = 73,108 × 73,108
4. Step 4: Simplify right side
   35,438x = 5,344,779,664
5. Step 5: Solve for x
   x = 5,344,779,664/35,438
6. Step 6: Final answer
   x = 150,820.58