Finding the Third Proportional to 35,142 and 75,308

Step by Step Solution

1. Step 1: Write the proportion equation
   35,142 : 75,308 = 75,308 : x
2. Step 2: Convert to fraction form
   35,142/75,308 = 75,308/x
3. Step 3: Cross multiply
   35,142x = 75,308 × 75,308
4. Step 4: Simplify right side
   35,142x = 5,671,294,864
5. Step 5: Solve for x
   x = 5,671,294,864/35,142
6. Step 6: Final answer
   x = 161,382.25