Finding the Third Proportional to 5,688 and 12,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,688 : 12,307.50 = 12,307.50 : x
2. Step 2: Convert to fraction form
   5,688/12,307.50 = 12,307.50/x
3. Step 3: Cross multiply
   5,688x = 12,307.50 × 12,307.50
4. Step 4: Simplify right side
   5,688x = 151,474,556.25
5. Step 5: Solve for x
   x = 151,474,556.25/5,688
6. Step 6: Final answer
   x = 26,630.55