Finding the Third Proportional to 35,426 and 75,592

Step by Step Solution

1. Step 1: Write the proportion equation
   35,426 : 75,592 = 75,592 : x
2. Step 2: Convert to fraction form
   35,426/75,592 = 75,592/x
3. Step 3: Cross multiply
   35,426x = 75,592 × 75,592
4. Step 4: Simplify right side
   35,426x = 5,714,150,464
5. Step 5: Solve for x
   x = 5,714,150,464/35,426
6. Step 6: Final answer
   x = 161,298.21