Finding the Third Proportional to 16,460 and 35,924

Step by Step Solution

1. Step 1: Write the proportion equation
   16,460 : 35,924 = 35,924 : x
2. Step 2: Convert to fraction form
   16,460/35,924 = 35,924/x
3. Step 3: Cross multiply
   16,460x = 35,924 × 35,924
4. Step 4: Simplify right side
   16,460x = 1,290,533,776
5. Step 5: Solve for x
   x = 1,290,533,776/16,460
6. Step 6: Final answer
   x = 78,404.24