Finding the Third Proportional to 1,141.88 and 1,688.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.88 : 1,688.63 = 1,688.63 : x
2. Step 2: Convert to fraction form
   1,141.88/1,688.63 = 1,688.63/x
3. Step 3: Cross multiply
   1,141.88x = 1,688.63 × 1,688.63
4. Step 4: Simplify right side
   1,141.88x = 2,851,454.39
5. Step 5: Solve for x
   x = 2,851,454.39/1,141.88
6. Step 6: Final answer
   x = 2,497.17