Finding the Third Proportional to 20,541.50 and 31,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,541.50 : 31,682.50 = 31,682.50 : x
2. Step 2: Convert to fraction form
   20,541.50/31,682.50 = 31,682.50/x
3. Step 3: Cross multiply
   20,541.50x = 31,682.50 × 31,682.50
4. Step 4: Simplify right side
   20,541.50x = 1,003,780,806.25
5. Step 5: Solve for x
   x = 1,003,780,806.25/20,541.50
6. Step 6: Final answer
   x = 48,865.99