Finding the Third Proportional to 9,466 and 20,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,466 : 20,589.50 = 20,589.50 : x
2. Step 2: Convert to fraction form
   9,466/20,589.50 = 20,589.50/x
3. Step 3: Cross multiply
   9,466x = 20,589.50 × 20,589.50
4. Step 4: Simplify right side
   9,466x = 423,927,510.25
5. Step 5: Solve for x
   x = 423,927,510.25/9,466
6. Step 6: Final answer
   x = 44,784.23