Finding the Third Proportional to 40,264 and 59,009

Step by Step Solution

1. Step 1: Write the proportion equation
   40,264 : 59,009 = 59,009 : x
2. Step 2: Convert to fraction form
   40,264/59,009 = 59,009/x
3. Step 3: Cross multiply
   40,264x = 59,009 × 59,009
4. Step 4: Simplify right side
   40,264x = 3,482,062,081
5. Step 5: Solve for x
   x = 3,482,062,081/40,264
6. Step 6: Final answer
   x = 86,480.78