Finding the Third Proportional to 13,682.25 and 20,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,682.25 : 20,587.50 = 20,587.50 : x
2. Step 2: Convert to fraction form
   13,682.25/20,587.50 = 20,587.50/x
3. Step 3: Cross multiply
   13,682.25x = 20,587.50 × 20,587.50
4. Step 4: Simplify right side
   13,682.25x = 423,845,156.25
5. Step 5: Solve for x
   x = 423,845,156.25/13,682.25
6. Step 6: Final answer
   x = 30,977.74