Finding the Third Proportional to 13,914.75 and 21,563.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,914.75 : 21,563.63 = 21,563.63 : x
2. Step 2: Convert to fraction form
   13,914.75/21,563.63 = 21,563.63/x
3. Step 3: Cross multiply
   13,914.75x = 21,563.63 × 21,563.63
4. Step 4: Simplify right side
   13,914.75x = 464,989,923.14
5. Step 5: Solve for x
   x = 464,989,923.14/13,914.75
6. Step 6: Final answer
   x = 33,417.05