Finding the Third Proportional to 1,085.50 and 2,365

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.50 : 2,365 = 2,365 : x
2. Step 2: Convert to fraction form
   1,085.50/2,365 = 2,365/x
3. Step 3: Cross multiply
   1,085.50x = 2,365 × 2,365
4. Step 4: Simplify right side
   1,085.50x = 5,593,225
5. Step 5: Solve for x
   x = 5,593,225/1,085.50
6. Step 6: Final answer
   x = 5,152.67