Finding the Third Proportional to 17,643 and 36,738

Step by Step Solution

1. Step 1: Write the proportion equation
   17,643 : 36,738 = 36,738 : x
2. Step 2: Convert to fraction form
   17,643/36,738 = 36,738/x
3. Step 3: Cross multiply
   17,643x = 36,738 × 36,738
4. Step 4: Simplify right side
   17,643x = 1,349,680,644
5. Step 5: Solve for x
   x = 1,349,680,644/17,643
6. Step 6: Final answer
   x = 76,499.50