Finding the Third Proportional to 7,752 and 10,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,752 : 10,366.50 = 10,366.50 : x
2. Step 2: Convert to fraction form
   7,752/10,366.50 = 10,366.50/x
3. Step 3: Cross multiply
   7,752x = 10,366.50 × 10,366.50
4. Step 4: Simplify right side
   7,752x = 107,464,322.25
5. Step 5: Solve for x
   x = 107,464,322.25/7,752
6. Step 6: Final answer
   x = 13,862.79