Finding the Third Proportional to 35,820 and 75,908

Step by Step Solution

1. Step 1: Write the proportion equation
   35,820 : 75,908 = 75,908 : x
2. Step 2: Convert to fraction form
   35,820/75,908 = 75,908/x
3. Step 3: Cross multiply
   35,820x = 75,908 × 75,908
4. Step 4: Simplify right side
   35,820x = 5,762,024,464
5. Step 5: Solve for x
   x = 5,762,024,464/35,820
6. Step 6: Final answer
   x = 160,860.54