Finding the Third Proportional to 13,574.25 and 21,589.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,574.25 : 21,589.88 = 21,589.88 : x
2. Step 2: Convert to fraction form
   13,574.25/21,589.88 = 21,589.88/x
3. Step 3: Cross multiply
   13,574.25x = 21,589.88 × 21,589.88
4. Step 4: Simplify right side
   13,574.25x = 466,122,702.52
5. Step 5: Solve for x
   x = 466,122,702.52/13,574.25
6. Step 6: Final answer
   x = 34,338.74