Finding the Third Proportional to 1,117.75 and 1,638.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,117.75 : 1,638.63 = 1,638.63 : x
2. Step 2: Convert to fraction form
   1,117.75/1,638.63 = 1,638.63/x
3. Step 3: Cross multiply
   1,117.75x = 1,638.63 × 1,638.63
4. Step 4: Simplify right side
   1,117.75x = 2,685,091.89
5. Step 5: Solve for x
   x = 2,685,091.89/1,117.75
6. Step 6: Final answer
   x = 2,402.23