Finding the Third Proportional to 7,836 and 10,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,836 : 10,642.50 = 10,642.50 : x
2. Step 2: Convert to fraction form
   7,836/10,642.50 = 10,642.50/x
3. Step 3: Cross multiply
   7,836x = 10,642.50 × 10,642.50
4. Step 4: Simplify right side
   7,836x = 113,262,806.25
5. Step 5: Solve for x
   x = 113,262,806.25/7,836
6. Step 6: Final answer
   x = 14,454.16