Finding the Third Proportional to 2,107 and 4,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,107 : 4,641.50 = 4,641.50 : x
2. Step 2: Convert to fraction form
   2,107/4,641.50 = 4,641.50/x
3. Step 3: Cross multiply
   2,107x = 4,641.50 × 4,641.50
4. Step 4: Simplify right side
   2,107x = 21,543,522.25
5. Step 5: Solve for x
   x = 21,543,522.25/2,107
6. Step 6: Final answer
   x = 10,224.74