Finding the Third Proportional to 21,098.50 and 31,783

Step by Step Solution

1. Step 1: Write the proportion equation
   21,098.50 : 31,783 = 31,783 : x
2. Step 2: Convert to fraction form
   21,098.50/31,783 = 31,783/x
3. Step 3: Cross multiply
   21,098.50x = 31,783 × 31,783
4. Step 4: Simplify right side
   21,098.50x = 1,010,159,089
5. Step 5: Solve for x
   x = 1,010,159,089/21,098.50
6. Step 6: Final answer
   x = 47,878.24