Finding the Third Proportional to 20,461.50 and 31,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,461.50 : 31,096.50 = 31,096.50 : x
2. Step 2: Convert to fraction form
   20,461.50/31,096.50 = 31,096.50/x
3. Step 3: Cross multiply
   20,461.50x = 31,096.50 × 31,096.50
4. Step 4: Simplify right side
   20,461.50x = 966,992,312.25
5. Step 5: Solve for x
   x = 966,992,312.25/20,461.50
6. Step 6: Final answer
   x = 47,259.11