Finding the Third Proportional to 13,686.50 and 20,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,686.50 : 20,627.50 = 20,627.50 : x
2. Step 2: Convert to fraction form
   13,686.50/20,627.50 = 20,627.50/x
3. Step 3: Cross multiply
   13,686.50x = 20,627.50 × 20,627.50
4. Step 4: Simplify right side
   13,686.50x = 425,493,756.25
5. Step 5: Solve for x
   x = 425,493,756.25/13,686.50
6. Step 6: Final answer
   x = 31,088.57