Finding the Third Proportional to 5,946 and 12,789

Step by Step Solution

1. Step 1: Write the proportion equation
   5,946 : 12,789 = 12,789 : x
2. Step 2: Convert to fraction form
   5,946/12,789 = 12,789/x
3. Step 3: Cross multiply
   5,946x = 12,789 × 12,789
4. Step 4: Simplify right side
   5,946x = 163,558,521
5. Step 5: Solve for x
   x = 163,558,521/5,946
6. Step 6: Final answer
   x = 27,507.32