Finding the Third Proportional to 13,972.50 and 21,597.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,972.50 : 21,597.75 = 21,597.75 : x
2. Step 2: Convert to fraction form
   13,972.50/21,597.75 = 21,597.75/x
3. Step 3: Cross multiply
   13,972.50x = 21,597.75 × 21,597.75
4. Step 4: Simplify right side
   13,972.50x = 466,462,805.06
5. Step 5: Solve for x
   x = 466,462,805.06/13,972.50
6. Step 6: Final answer
   x = 33,384.35