Finding the Third Proportional to 21,181 and 31,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,181 : 31,668.50 = 31,668.50 : x
2. Step 2: Convert to fraction form
   21,181/31,668.50 = 31,668.50/x
3. Step 3: Cross multiply
   21,181x = 31,668.50 × 31,668.50
4. Step 4: Simplify right side
   21,181x = 1,002,893,892.25
5. Step 5: Solve for x
   x = 1,002,893,892.25/21,181
6. Step 6: Final answer
   x = 47,348.75