Finding the Third Proportional to 2,358 and 5,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,358 : 5,083.50 = 5,083.50 : x
2. Step 2: Convert to fraction form
   2,358/5,083.50 = 5,083.50/x
3. Step 3: Cross multiply
   2,358x = 5,083.50 × 5,083.50
4. Step 4: Simplify right side
   2,358x = 25,841,972.25
5. Step 5: Solve for x
   x = 25,841,972.25/2,358
6. Step 6: Final answer
   x = 10,959.28