Finding the Third Proportional to 20,072.25 and 31,219.88

Step by Step Solution

1. Step 1: Write the proportion equation
   20,072.25 : 31,219.88 = 31,219.88 : x
2. Step 2: Convert to fraction form
   20,072.25/31,219.88 = 31,219.88/x
3. Step 3: Cross multiply
   20,072.25x = 31,219.88 × 31,219.88
4. Step 4: Simplify right side
   20,072.25x = 974,680,595.02
5. Step 5: Solve for x
   x = 974,680,595.02/20,072.25
6. Step 6: Final answer
   x = 48,558.61