Finding the Third Proportional to 1,420.31 and 2,084.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.31 : 2,084.63 = 2,084.63 : x
2. Step 2: Convert to fraction form
   1,420.31/2,084.63 = 2,084.63/x
3. Step 3: Cross multiply
   1,420.31x = 2,084.63 × 2,084.63
4. Step 4: Simplify right side
   1,420.31x = 4,345,661.39
5. Step 5: Solve for x
   x = 4,345,661.39/1,420.31
6. Step 6: Final answer
   x = 3,059.65