Finding the Third Proportional to 7,678.13 and 10,531.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678.13 : 10,531.69 = 10,531.69 : x
2. Step 2: Convert to fraction form
   7,678.13/10,531.69 = 10,531.69/x
3. Step 3: Cross multiply
   7,678.13x = 10,531.69 × 10,531.69
4. Step 4: Simplify right side
   7,678.13x = 110,916,441.60
5. Step 5: Solve for x
   x = 110,916,441.60/7,678.13
6. Step 6: Final answer
   x = 14,445.77