Finding the Third Proportional to 1,516.50 and 1,648.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.50 : 1,648.13 = 1,648.13 : x
2. Step 2: Convert to fraction form
   1,516.50/1,648.13 = 1,648.13/x
3. Step 3: Cross multiply
   1,516.50x = 1,648.13 × 1,648.13
4. Step 4: Simplify right side
   1,516.50x = 2,716,316.02
5. Step 5: Solve for x
   x = 2,716,316.02/1,516.50
6. Step 6: Final answer
   x = 1,791.17