Finding the Third Proportional to 21,306 and 31,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,306 : 31,738.50 = 31,738.50 : x
2. Step 2: Convert to fraction form
   21,306/31,738.50 = 31,738.50/x
3. Step 3: Cross multiply
   21,306x = 31,738.50 × 31,738.50
4. Step 4: Simplify right side
   21,306x = 1,007,332,382.25
5. Step 5: Solve for x
   x = 1,007,332,382.25/21,306
6. Step 6: Final answer
   x = 47,279.28