Finding the Third Proportional to 7,642.69 and 11,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642.69 : 11,812.50 = 11,812.50 : x
2. Step 2: Convert to fraction form
   7,642.69/11,812.50 = 11,812.50/x
3. Step 3: Cross multiply
   7,642.69x = 11,812.50 × 11,812.50
4. Step 4: Simplify right side
   7,642.69x = 139,535,156.25
5. Step 5: Solve for x
   x = 139,535,156.25/7,642.69
6. Step 6: Final answer
   x = 18,257.34