Finding the Third Proportional to 1,543.69 and 1,885.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,543.69 : 1,885.31 = 1,885.31 : x
2. Step 2: Convert to fraction form
   1,543.69/1,885.31 = 1,885.31/x
3. Step 3: Cross multiply
   1,543.69x = 1,885.31 × 1,885.31
4. Step 4: Simplify right side
   1,543.69x = 3,554,403.22
5. Step 5: Solve for x
   x = 3,554,403.22/1,543.69
6. Step 6: Final answer
   x = 2,302.54