Finding the Third Proportional to 1,052.58 and 2,309.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,052.58 : 2,309.77 = 2,309.77 : x
2. Step 2: Convert to fraction form
   1,052.58/2,309.77 = 2,309.77/x
3. Step 3: Cross multiply
   1,052.58x = 2,309.77 × 2,309.77
4. Step 4: Simplify right side
   1,052.58x = 5,335,017.24
5. Step 5: Solve for x
   x = 5,335,017.24/1,052.58
6. Step 6: Final answer
   x = 5,068.52