Finding the Third Proportional to 13,975 and 21,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,975 : 21,142.50 = 21,142.50 : x
2. Step 2: Convert to fraction form
   13,975/21,142.50 = 21,142.50/x
3. Step 3: Cross multiply
   13,975x = 21,142.50 × 21,142.50
4. Step 4: Simplify right side
   13,975x = 447,005,306.25
5. Step 5: Solve for x
   x = 447,005,306.25/13,975
6. Step 6: Final answer
   x = 31,986.07