Finding the Third Proportional to 13,713 and 21,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,713 : 21,532.50 = 21,532.50 : x
2. Step 2: Convert to fraction form
   13,713/21,532.50 = 21,532.50/x
3. Step 3: Cross multiply
   13,713x = 21,532.50 × 21,532.50
4. Step 4: Simplify right side
   13,713x = 463,648,556.25
5. Step 5: Solve for x
   x = 463,648,556.25/13,713
6. Step 6: Final answer
   x = 33,810.88