Finding the Third Proportional to 21,474 and 31,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,474 : 31,570.50 = 31,570.50 : x
2. Step 2: Convert to fraction form
   21,474/31,570.50 = 31,570.50/x
3. Step 3: Cross multiply
   21,474x = 31,570.50 × 31,570.50
4. Step 4: Simplify right side
   21,474x = 996,696,470.25
5. Step 5: Solve for x
   x = 996,696,470.25/21,474
6. Step 6: Final answer
   x = 46,414.10