Finding the Third Proportional to 14,215 and 22,298

Step by Step Solution

1. Step 1: Write the proportion equation
   14,215 : 22,298 = 22,298 : x
2. Step 2: Convert to fraction form
   14,215/22,298 = 22,298/x
3. Step 3: Cross multiply
   14,215x = 22,298 × 22,298
4. Step 4: Simplify right side
   14,215x = 497,200,804
5. Step 5: Solve for x
   x = 497,200,804/14,215
6. Step 6: Final answer
   x = 34,977.19