Finding the Third Proportional to 10,510 and 19,292

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510 : 19,292 = 19,292 : x
2. Step 2: Convert to fraction form
   10,510/19,292 = 19,292/x
3. Step 3: Cross multiply
   10,510x = 19,292 × 19,292
4. Step 4: Simplify right side
   10,510x = 372,181,264
5. Step 5: Solve for x
   x = 372,181,264/10,510
6. Step 6: Final answer
   x = 35,412.11