Finding the Third Proportional to 12,870 and 27,657

Step by Step Solution

1. Step 1: Write the proportion equation
   12,870 : 27,657 = 27,657 : x
2. Step 2: Convert to fraction form
   12,870/27,657 = 27,657/x
3. Step 3: Cross multiply
   12,870x = 27,657 × 27,657
4. Step 4: Simplify right side
   12,870x = 764,909,649
5. Step 5: Solve for x
   x = 764,909,649/12,870
6. Step 6: Final answer
   x = 59,433.54