Finding the Third Proportional to 1,114.31 and 1,731.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.31 : 1,731.94 = 1,731.94 : x
2. Step 2: Convert to fraction form
   1,114.31/1,731.94 = 1,731.94/x
3. Step 3: Cross multiply
   1,114.31x = 1,731.94 × 1,731.94
4. Step 4: Simplify right side
   1,114.31x = 2,999,607.50
5. Step 5: Solve for x
   x = 2,999,607.50/1,114.31
6. Step 6: Final answer
   x = 2,691.89