Finding the Third Proportional to 1,022.50 and 2,166.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.50 : 2,166.63 = 2,166.63 : x
2. Step 2: Convert to fraction form
   1,022.50/2,166.63 = 2,166.63/x
3. Step 3: Cross multiply
   1,022.50x = 2,166.63 × 2,166.63
4. Step 4: Simplify right side
   1,022.50x = 4,694,263.89
5. Step 5: Solve for x
   x = 4,694,263.89/1,022.50
6. Step 6: Final answer
   x = 4,590.97