Finding the Third Proportional to 6,196 and 10,924

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196 : 10,924 = 10,924 : x
2. Step 2: Convert to fraction form
   6,196/10,924 = 10,924/x
3. Step 3: Cross multiply
   6,196x = 10,924 × 10,924
4. Step 4: Simplify right side
   6,196x = 119,333,776
5. Step 5: Solve for x
   x = 119,333,776/6,196
6. Step 6: Final answer
   x = 19,259.81