Finding the Third Proportional to 17,946 and 36,789

Step by Step Solution

1. Step 1: Write the proportion equation
   17,946 : 36,789 = 36,789 : x
2. Step 2: Convert to fraction form
   17,946/36,789 = 36,789/x
3. Step 3: Cross multiply
   17,946x = 36,789 × 36,789
4. Step 4: Simplify right side
   17,946x = 1,353,430,521
5. Step 5: Solve for x
   x = 1,353,430,521/17,946
6. Step 6: Final answer
   x = 75,416.84