Finding the Third Proportional to 1,385.25 and 2,308.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.25 : 2,308.63 = 2,308.63 : x
2. Step 2: Convert to fraction form
   1,385.25/2,308.63 = 2,308.63/x
3. Step 3: Cross multiply
   1,385.25x = 2,308.63 × 2,308.63
4. Step 4: Simplify right side
   1,385.25x = 5,329,749.39
5. Step 5: Solve for x
   x = 5,329,749.39/1,385.25
6. Step 6: Final answer
   x = 3,847.50