Finding the Third Proportional to 16,091 and 35,457

Step by Step Solution

1. Step 1: Write the proportion equation
   16,091 : 35,457 = 35,457 : x
2. Step 2: Convert to fraction form
   16,091/35,457 = 35,457/x
3. Step 3: Cross multiply
   16,091x = 35,457 × 35,457
4. Step 4: Simplify right side
   16,091x = 1,257,198,849
5. Step 5: Solve for x
   x = 1,257,198,849/16,091
6. Step 6: Final answer
   x = 78,130.56