Finding the Third Proportional to 13,624.50 and 20,642.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,624.50 : 20,642.25 = 20,642.25 : x
2. Step 2: Convert to fraction form
   13,624.50/20,642.25 = 20,642.25/x
3. Step 3: Cross multiply
   13,624.50x = 20,642.25 × 20,642.25
4. Step 4: Simplify right side
   13,624.50x = 426,102,485.06
5. Step 5: Solve for x
   x = 426,102,485.06/13,624.50
6. Step 6: Final answer
   x = 31,274.72