Finding the Third Proportional to 20,784 and 31,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,784 : 31,345.50 = 31,345.50 : x
2. Step 2: Convert to fraction form
   20,784/31,345.50 = 31,345.50/x
3. Step 3: Cross multiply
   20,784x = 31,345.50 × 31,345.50
4. Step 4: Simplify right side
   20,784x = 982,540,370.25
5. Step 5: Solve for x
   x = 982,540,370.25/20,784
6. Step 6: Final answer
   x = 47,273.88