Finding the Third Proportional to 5,946 and 13,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,946 : 13,768.50 = 13,768.50 : x
2. Step 2: Convert to fraction form
   5,946/13,768.50 = 13,768.50/x
3. Step 3: Cross multiply
   5,946x = 13,768.50 × 13,768.50
4. Step 4: Simplify right side
   5,946x = 189,571,592.25
5. Step 5: Solve for x
   x = 189,571,592.25/5,946
6. Step 6: Final answer
   x = 31,882.21