Finding the Third Proportional to 6,924 and 10,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,924 : 10,384.50 = 10,384.50 : x
2. Step 2: Convert to fraction form
   6,924/10,384.50 = 10,384.50/x
3. Step 3: Cross multiply
   6,924x = 10,384.50 × 10,384.50
4. Step 4: Simplify right side
   6,924x = 107,837,840.25
5. Step 5: Solve for x
   x = 107,837,840.25/6,924
6. Step 6: Final answer
   x = 15,574.50