Finding the Third Proportional to 35,409 and 55,269

Step by Step Solution

1. Step 1: Write the proportion equation
   35,409 : 55,269 = 55,269 : x
2. Step 2: Convert to fraction form
   35,409/55,269 = 55,269/x
3. Step 3: Cross multiply
   35,409x = 55,269 × 55,269
4. Step 4: Simplify right side
   35,409x = 3,054,662,361
5. Step 5: Solve for x
   x = 3,054,662,361/35,409
6. Step 6: Final answer
   x = 86,267.96