Finding the Third Proportional to 20,917.50 and 31,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,917.50 : 31,422.50 = 31,422.50 : x
2. Step 2: Convert to fraction form
   20,917.50/31,422.50 = 31,422.50/x
3. Step 3: Cross multiply
   20,917.50x = 31,422.50 × 31,422.50
4. Step 4: Simplify right side
   20,917.50x = 987,373,506.25
5. Step 5: Solve for x
   x = 987,373,506.25/20,917.50
6. Step 6: Final answer
   x = 47,203.23