Finding the Third Proportional to 20,026 and 31,174

Step by Step Solution

1. Step 1: Write the proportion equation
   20,026 : 31,174 = 31,174 : x
2. Step 2: Convert to fraction form
   20,026/31,174 = 31,174/x
3. Step 3: Cross multiply
   20,026x = 31,174 × 31,174
4. Step 4: Simplify right side
   20,026x = 971,818,276
5. Step 5: Solve for x
   x = 971,818,276/20,026
6. Step 6: Final answer
   x = 48,527.83