Finding the Third Proportional to 1,393.88 and 2,084.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,393.88 : 2,084.06 = 2,084.06 : x
2. Step 2: Convert to fraction form
   1,393.88/2,084.06 = 2,084.06/x
3. Step 3: Cross multiply
   1,393.88x = 2,084.06 × 2,084.06
4. Step 4: Simplify right side
   1,393.88x = 4,343,316.50
5. Step 5: Solve for x
   x = 4,343,316.50/1,393.88
6. Step 6: Final answer
   x = 3,116.00