Finding the Third Proportional to 34,209 and 53,388

Step by Step Solution

1. Step 1: Write the proportion equation
   34,209 : 53,388 = 53,388 : x
2. Step 2: Convert to fraction form
   34,209/53,388 = 53,388/x
3. Step 3: Cross multiply
   34,209x = 53,388 × 53,388
4. Step 4: Simplify right side
   34,209x = 2,850,278,544
5. Step 5: Solve for x
   x = 2,850,278,544/34,209
6. Step 6: Final answer
   x = 83,319.55