Finding the Third Proportional to 2,314.83 and 3,460.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.83 : 3,460.22 = 3,460.22 : x
2. Step 2: Convert to fraction form
   2,314.83/3,460.22 = 3,460.22/x
3. Step 3: Cross multiply
   2,314.83x = 3,460.22 × 3,460.22
4. Step 4: Simplify right side
   2,314.83x = 11,973,113.80
5. Step 5: Solve for x
   x = 11,973,113.80/2,314.83
6. Step 6: Final answer
   x = 5,172.36