Finding the Third Proportional to 1,007.50 and 2,213

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.50 : 2,213 = 2,213 : x
2. Step 2: Convert to fraction form
   1,007.50/2,213 = 2,213/x
3. Step 3: Cross multiply
   1,007.50x = 2,213 × 2,213
4. Step 4: Simplify right side
   1,007.50x = 4,897,369
5. Step 5: Solve for x
   x = 4,897,369/1,007.50
6. Step 6: Final answer
   x = 4,860.91