Finding the Third Proportional to 36,462 and 55,269

Step by Step Solution

1. Step 1: Write the proportion equation
   36,462 : 55,269 = 55,269 : x
2. Step 2: Convert to fraction form
   36,462/55,269 = 55,269/x
3. Step 3: Cross multiply
   36,462x = 55,269 × 55,269
4. Step 4: Simplify right side
   36,462x = 3,054,662,361
5. Step 5: Solve for x
   x = 3,054,662,361/36,462
6. Step 6: Final answer
   x = 83,776.60