Finding the Third Proportional to 1,069.31 and 1,638.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.31 : 1,638.84 = 1,638.84 : x
2. Step 2: Convert to fraction form
   1,069.31/1,638.84 = 1,638.84/x
3. Step 3: Cross multiply
   1,069.31x = 1,638.84 × 1,638.84
4. Step 4: Simplify right side
   1,069.31x = 2,685,808.84
5. Step 5: Solve for x
   x = 2,685,808.84/1,069.31
6. Step 6: Final answer
   x = 2,511.72