Finding the Third Proportional to 2,345.63 and 3,380.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,345.63 : 3,380.06 = 3,380.06 : x
2. Step 2: Convert to fraction form
   2,345.63/3,380.06 = 3,380.06/x
3. Step 3: Cross multiply
   2,345.63x = 3,380.06 × 3,380.06
4. Step 4: Simplify right side
   2,345.63x = 11,424,822.50
5. Step 5: Solve for x
   x = 11,424,822.50/2,345.63
6. Step 6: Final answer
   x = 4,870.69