Finding the Third Proportional to 35,230 and 55,009

Step by Step Solution

1. Step 1: Write the proportion equation
   35,230 : 55,009 = 55,009 : x
2. Step 2: Convert to fraction form
   35,230/55,009 = 55,009/x
3. Step 3: Cross multiply
   35,230x = 55,009 × 55,009
4. Step 4: Simplify right side
   35,230x = 3,025,990,081
5. Step 5: Solve for x
   x = 3,025,990,081/35,230
6. Step 6: Final answer
   x = 85,892.42