Finding the Third Proportional to 38,336 and 52,789

Step by Step Solution

1. Step 1: Write the proportion equation
   38,336 : 52,789 = 52,789 : x
2. Step 2: Convert to fraction form
   38,336/52,789 = 52,789/x
3. Step 3: Cross multiply
   38,336x = 52,789 × 52,789
4. Step 4: Simplify right side
   38,336x = 2,786,678,521
5. Step 5: Solve for x
   x = 2,786,678,521/38,336
6. Step 6: Final answer
   x = 72,690.90