Finding the Third Proportional to 5,688 and 7,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,688 : 7,645.50 = 7,645.50 : x
2. Step 2: Convert to fraction form
   5,688/7,645.50 = 7,645.50/x
3. Step 3: Cross multiply
   5,688x = 7,645.50 × 7,645.50
4. Step 4: Simplify right side
   5,688x = 58,453,670.25
5. Step 5: Solve for x
   x = 58,453,670.25/5,688
6. Step 6: Final answer
   x = 10,276.66