Finding the Third Proportional to 20,971.41 and 31,762.55

Step by Step Solution

1. Step 1: Write the proportion equation
   20,971.41 : 31,762.55 = 31,762.55 : x
2. Step 2: Convert to fraction form
   20,971.41/31,762.55 = 31,762.55/x
3. Step 3: Cross multiply
   20,971.41x = 31,762.55 × 31,762.55
4. Step 4: Simplify right side
   20,971.41x = 1,008,859,383.99
5. Step 5: Solve for x
   x = 1,008,859,383.99/20,971.41
6. Step 6: Final answer
   x = 48,106.43