Finding the Third Proportional to 16,536 and 38,364

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 38,364 = 38,364 : x
2. Step 2: Convert to fraction form
   16,536/38,364 = 38,364/x
3. Step 3: Cross multiply
   16,536x = 38,364 × 38,364
4. Step 4: Simplify right side
   16,536x = 1,471,796,496
5. Step 5: Solve for x
   x = 1,471,796,496/16,536
6. Step 6: Final answer
   x = 89,005.59