Finding the Third Proportional to 1,192.61 and 2,543.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.61 : 2,543.69 = 2,543.69 : x
2. Step 2: Convert to fraction form
   1,192.61/2,543.69 = 2,543.69/x
3. Step 3: Cross multiply
   1,192.61x = 2,543.69 × 2,543.69
4. Step 4: Simplify right side
   1,192.61x = 6,470,346.10
5. Step 5: Solve for x
   x = 6,470,346.10/1,192.61
6. Step 6: Final answer
   x = 5,425.37