Finding the Third Proportional to 7,656.75 and 10,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,656.75 : 10,837.50 = 10,837.50 : x
2. Step 2: Convert to fraction form
   7,656.75/10,837.50 = 10,837.50/x
3. Step 3: Cross multiply
   7,656.75x = 10,837.50 × 10,837.50
4. Step 4: Simplify right side
   7,656.75x = 117,451,406.25
5. Step 5: Solve for x
   x = 117,451,406.25/7,656.75
6. Step 6: Final answer
   x = 15,339.59