Finding the Third Proportional to 2,113 and 4,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,113 : 4,590.50 = 4,590.50 : x
2. Step 2: Convert to fraction form
   2,113/4,590.50 = 4,590.50/x
3. Step 3: Cross multiply
   2,113x = 4,590.50 × 4,590.50
4. Step 4: Simplify right side
   2,113x = 21,072,690.25
5. Step 5: Solve for x
   x = 21,072,690.25/2,113
6. Step 6: Final answer
   x = 9,972.88