Finding the Third Proportional to 10,412 and 22,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412 : 22,031.50 = 22,031.50 : x
2. Step 2: Convert to fraction form
   10,412/22,031.50 = 22,031.50/x
3. Step 3: Cross multiply
   10,412x = 22,031.50 × 22,031.50
4. Step 4: Simplify right side
   10,412x = 485,386,992.25
5. Step 5: Solve for x
   x = 485,386,992.25/10,412
6. Step 6: Final answer
   x = 46,618.04