Finding the Third Proportional to 2,000.50 and 4,671.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,000.50 : 4,671.63 = 4,671.63 : x
2. Step 2: Convert to fraction form
   2,000.50/4,671.63 = 4,671.63/x
3. Step 3: Cross multiply
   2,000.50x = 4,671.63 × 4,671.63
4. Step 4: Simplify right side
   2,000.50x = 21,824,080.14
5. Step 5: Solve for x
   x = 21,824,080.14/2,000.50
6. Step 6: Final answer
   x = 10,909.31