Finding the Third Proportional to 2,314.13 and 4,714.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.13 : 4,714.31 = 4,714.31 : x
2. Step 2: Convert to fraction form
   2,314.13/4,714.31 = 4,714.31/x
3. Step 3: Cross multiply
   2,314.13x = 4,714.31 × 4,714.31
4. Step 4: Simplify right side
   2,314.13x = 22,224,742.35
5. Step 5: Solve for x
   x = 22,224,742.35/2,314.13
6. Step 6: Final answer
   x = 9,603.95