Finding the Third Proportional to 20,314 and 31,047

Step by Step Solution

1. Step 1: Write the proportion equation
   20,314 : 31,047 = 31,047 : x
2. Step 2: Convert to fraction form
   20,314/31,047 = 31,047/x
3. Step 3: Cross multiply
   20,314x = 31,047 × 31,047
4. Step 4: Simplify right side
   20,314x = 963,916,209
5. Step 5: Solve for x
   x = 963,916,209/20,314
6. Step 6: Final answer
   x = 47,450.83