Finding the Third Proportional to 21,066 and 31,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,066 : 31,732.50 = 31,732.50 : x
2. Step 2: Convert to fraction form
   21,066/31,732.50 = 31,732.50/x
3. Step 3: Cross multiply
   21,066x = 31,732.50 × 31,732.50
4. Step 4: Simplify right side
   21,066x = 1,006,951,556.25
5. Step 5: Solve for x
   x = 1,006,951,556.25/21,066
6. Step 6: Final answer
   x = 47,799.85