Finding the Third Proportional to 1,004 and 2,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004 : 2,117.50 = 2,117.50 : x
2. Step 2: Convert to fraction form
   1,004/2,117.50 = 2,117.50/x
3. Step 3: Cross multiply
   1,004x = 2,117.50 × 2,117.50
4. Step 4: Simplify right side
   1,004x = 4,483,806.25
5. Step 5: Solve for x
   x = 4,483,806.25/1,004
6. Step 6: Final answer
   x = 4,465.94