Finding the Third Proportional to 2,146.50 and 2,316.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.50 : 2,316.38 = 2,316.38 : x
2. Step 2: Convert to fraction form
   2,146.50/2,316.38 = 2,316.38/x
3. Step 3: Cross multiply
   2,146.50x = 2,316.38 × 2,316.38
4. Step 4: Simplify right side
   2,146.50x = 5,365,593.14
5. Step 5: Solve for x
   x = 5,365,593.14/2,146.50
6. Step 6: Final answer
   x = 2,499.69