Finding the Third Proportional to 1,098.75 and 2,402.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.75 : 2,402.63 = 2,402.63 : x
2. Step 2: Convert to fraction form
   1,098.75/2,402.63 = 2,402.63/x
3. Step 3: Cross multiply
   1,098.75x = 2,402.63 × 2,402.63
4. Step 4: Simplify right side
   1,098.75x = 5,772,606.89
5. Step 5: Solve for x
   x = 5,772,606.89/1,098.75
6. Step 6: Final answer
   x = 5,253.79