Finding the Third Proportional to 12,946.50 and 20,031.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,946.50 : 20,031.75 = 20,031.75 : x
2. Step 2: Convert to fraction form
   12,946.50/20,031.75 = 20,031.75/x
3. Step 3: Cross multiply
   12,946.50x = 20,031.75 × 20,031.75
4. Step 4: Simplify right side
   12,946.50x = 401,271,008.06
5. Step 5: Solve for x
   x = 401,271,008.06/12,946.50
6. Step 6: Final answer
   x = 30,994.56