Finding the Third Proportional to 20,030 and 31,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,030 : 31,138.50 = 31,138.50 : x
2. Step 2: Convert to fraction form
   20,030/31,138.50 = 31,138.50/x
3. Step 3: Cross multiply
   20,030x = 31,138.50 × 31,138.50
4. Step 4: Simplify right side
   20,030x = 969,606,182.25
5. Step 5: Solve for x
   x = 969,606,182.25/20,030
6. Step 6: Final answer
   x = 48,407.70