Finding the Third Proportional to 1,464.75 and 2,213.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.75 : 2,213.06 = 2,213.06 : x
2. Step 2: Convert to fraction form
   1,464.75/2,213.06 = 2,213.06/x
3. Step 3: Cross multiply
   1,464.75x = 2,213.06 × 2,213.06
4. Step 4: Simplify right side
   1,464.75x = 4,897,645.63
5. Step 5: Solve for x
   x = 4,897,645.63/1,464.75
6. Step 6: Final answer
   x = 3,343.67