Finding the Third Proportional to 16,592 and 35,776

Step by Step Solution

1. Step 1: Write the proportion equation
   16,592 : 35,776 = 35,776 : x
2. Step 2: Convert to fraction form
   16,592/35,776 = 35,776/x
3. Step 3: Cross multiply
   16,592x = 35,776 × 35,776
4. Step 4: Simplify right side
   16,592x = 1,279,922,176
5. Step 5: Solve for x
   x = 1,279,922,176/16,592
6. Step 6: Final answer
   x = 77,140.92