Finding the Third Proportional to 2,345.50 and 4,178

Step by Step Solution

1. Step 1: Write the proportion equation
   2,345.50 : 4,178 = 4,178 : x
2. Step 2: Convert to fraction form
   2,345.50/4,178 = 4,178/x
3. Step 3: Cross multiply
   2,345.50x = 4,178 × 4,178
4. Step 4: Simplify right side
   2,345.50x = 17,455,684
5. Step 5: Solve for x
   x = 17,455,684/2,345.50
6. Step 6: Final answer
   x = 7,442.20