Finding the Third Proportional to 1,161 and 1,636.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,161 : 1,636.59 = 1,636.59 : x
2. Step 2: Convert to fraction form
   1,161/1,636.59 = 1,636.59/x
3. Step 3: Cross multiply
   1,161x = 1,636.59 × 1,636.59
4. Step 4: Simplify right side
   1,161x = 2,678,439.10
5. Step 5: Solve for x
   x = 2,678,439.10/1,161
6. Step 6: Final answer
   x = 2,307.01