Finding the Third Proportional to 10,606.50 and 19,377

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.50 : 19,377 = 19,377 : x
2. Step 2: Convert to fraction form
   10,606.50/19,377 = 19,377/x
3. Step 3: Cross multiply
   10,606.50x = 19,377 × 19,377
4. Step 4: Simplify right side
   10,606.50x = 375,468,129
5. Step 5: Solve for x
   x = 375,468,129/10,606.50
6. Step 6: Final answer
   x = 35,399.81