Finding the Third Proportional to 1,084.50 and 1,634.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.50 : 1,634.06 = 1,634.06 : x
2. Step 2: Convert to fraction form
   1,084.50/1,634.06 = 1,634.06/x
3. Step 3: Cross multiply
   1,084.50x = 1,634.06 × 1,634.06
4. Step 4: Simplify right side
   1,084.50x = 2,670,160.25
5. Step 5: Solve for x
   x = 2,670,160.25/1,084.50
6. Step 6: Final answer
   x = 2,462.11