Finding the Third Proportional to 2,612.63 and 3,835.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,612.63 : 3,835.31 = 3,835.31 : x
2. Step 2: Convert to fraction form
   2,612.63/3,835.31 = 3,835.31/x
3. Step 3: Cross multiply
   2,612.63x = 3,835.31 × 3,835.31
4. Step 4: Simplify right side
   2,612.63x = 14,709,621.97
5. Step 5: Solve for x
   x = 14,709,621.97/2,612.63
6. Step 6: Final answer
   x = 5,630.21