Finding the Third Proportional to 20,784 and 31,094

Step by Step Solution

1. Step 1: Write the proportion equation
   20,784 : 31,094 = 31,094 : x
2. Step 2: Convert to fraction form
   20,784/31,094 = 31,094/x
3. Step 3: Cross multiply
   20,784x = 31,094 × 31,094
4. Step 4: Simplify right side
   20,784x = 966,836,836
5. Step 5: Solve for x
   x = 966,836,836/20,784
6. Step 6: Final answer
   x = 46,518.32