Finding the Third Proportional to 14,591.25 and 21,674.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,591.25 : 21,674.25 = 21,674.25 : x
2. Step 2: Convert to fraction form
   14,591.25/21,674.25 = 21,674.25/x
3. Step 3: Cross multiply
   14,591.25x = 21,674.25 × 21,674.25
4. Step 4: Simplify right side
   14,591.25x = 469,773,113.06
5. Step 5: Solve for x
   x = 469,773,113.06/14,591.25
6. Step 6: Final answer
   x = 32,195.54