Finding the Third Proportional to 20,418 and 31,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,418 : 31,219.50 = 31,219.50 : x
2. Step 2: Convert to fraction form
   20,418/31,219.50 = 31,219.50/x
3. Step 3: Cross multiply
   20,418x = 31,219.50 × 31,219.50
4. Step 4: Simplify right side
   20,418x = 974,657,180.25
5. Step 5: Solve for x
   x = 974,657,180.25/20,418
6. Step 6: Final answer
   x = 47,735.19