Finding the Third Proportional to 1,468.31 and 2,087.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.31 : 2,087.72 = 2,087.72 : x
2. Step 2: Convert to fraction form
   1,468.31/2,087.72 = 2,087.72/x
3. Step 3: Cross multiply
   1,468.31x = 2,087.72 × 2,087.72
4. Step 4: Simplify right side
   1,468.31x = 4,358,569.58
5. Step 5: Solve for x
   x = 4,358,569.58/1,468.31
6. Step 6: Final answer
   x = 2,968.42