Finding the Third Proportional to 36,592 and 78,826

Step by Step Solution

1. Step 1: Write the proportion equation
   36,592 : 78,826 = 78,826 : x
2. Step 2: Convert to fraction form
   36,592/78,826 = 78,826/x
3. Step 3: Cross multiply
   36,592x = 78,826 × 78,826
4. Step 4: Simplify right side
   36,592x = 6,213,538,276
5. Step 5: Solve for x
   x = 6,213,538,276/36,592
6. Step 6: Final answer
   x = 169,805.92