Finding the Third Proportional to 1,077.84 and 1,539.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.84 : 1,539.94 = 1,539.94 : x
2. Step 2: Convert to fraction form
   1,077.84/1,539.94 = 1,539.94/x
3. Step 3: Cross multiply
   1,077.84x = 1,539.94 × 1,539.94
4. Step 4: Simplify right side
   1,077.84x = 2,371,407.50
5. Step 5: Solve for x
   x = 2,371,407.50/1,077.84
6. Step 6: Final answer
   x = 2,200.14