Finding the Third Proportional to 1,023.89 and 2,193.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.89 : 2,193.84 = 2,193.84 : x
2. Step 2: Convert to fraction form
   1,023.89/2,193.84 = 2,193.84/x
3. Step 3: Cross multiply
   1,023.89x = 2,193.84 × 2,193.84
4. Step 4: Simplify right side
   1,023.89x = 4,812,950.40
5. Step 5: Solve for x
   x = 4,812,950.40/1,023.89
6. Step 6: Final answer
   x = 4,700.65