Finding the Third Proportional to 15,300 and 21,657

Step by Step Solution

1. Step 1: Write the proportion equation
   15,300 : 21,657 = 21,657 : x
2. Step 2: Convert to fraction form
   15,300/21,657 = 21,657/x
3. Step 3: Cross multiply
   15,300x = 21,657 × 21,657
4. Step 4: Simplify right side
   15,300x = 469,025,649
5. Step 5: Solve for x
   x = 469,025,649/15,300
6. Step 6: Final answer
   x = 30,655.27