Finding the Third Proportional to 35,142 and 56,205

Step by Step Solution

1. Step 1: Write the proportion equation
   35,142 : 56,205 = 56,205 : x
2. Step 2: Convert to fraction form
   35,142/56,205 = 56,205/x
3. Step 3: Cross multiply
   35,142x = 56,205 × 56,205
4. Step 4: Simplify right side
   35,142x = 3,159,002,025
5. Step 5: Solve for x
   x = 3,159,002,025/35,142
6. Step 6: Final answer
   x = 89,892.49