Finding the Third Proportional to 1,468.13 and 2,522.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.13 : 2,522.81 = 2,522.81 : x
2. Step 2: Convert to fraction form
   1,468.13/2,522.81 = 2,522.81/x
3. Step 3: Cross multiply
   1,468.13x = 2,522.81 × 2,522.81
4. Step 4: Simplify right side
   1,468.13x = 6,364,582.91
5. Step 5: Solve for x
   x = 6,364,582.91/1,468.13
6. Step 6: Final answer
   x = 4,335.18