Finding the Third Proportional to 20,820 and 31,750.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,820 : 31,750.50 = 31,750.50 : x
2. Step 2: Convert to fraction form
   20,820/31,750.50 = 31,750.50/x
3. Step 3: Cross multiply
   20,820x = 31,750.50 × 31,750.50
4. Step 4: Simplify right side
   20,820x = 1,008,094,250.25
5. Step 5: Solve for x
   x = 1,008,094,250.25/20,820
6. Step 6: Final answer
   x = 48,419.51