Finding the Third Proportional to 12,770 and 17,157

Step by Step Solution

1. Step 1: Write the proportion equation
   12,770 : 17,157 = 17,157 : x
2. Step 2: Convert to fraction form
   12,770/17,157 = 17,157/x
3. Step 3: Cross multiply
   12,770x = 17,157 × 17,157
4. Step 4: Simplify right side
   12,770x = 294,362,649
5. Step 5: Solve for x
   x = 294,362,649/12,770
6. Step 6: Final answer
   x = 23,051.11