Finding the Third Proportional to 16,194 and 35,416

Step by Step Solution

1. Step 1: Write the proportion equation
   16,194 : 35,416 = 35,416 : x
2. Step 2: Convert to fraction form
   16,194/35,416 = 35,416/x
3. Step 3: Cross multiply
   16,194x = 35,416 × 35,416
4. Step 4: Simplify right side
   16,194x = 1,254,293,056
5. Step 5: Solve for x
   x = 1,254,293,056/16,194
6. Step 6: Final answer
   x = 77,454.18