Finding the Third Proportional to 16,194 and 35,436

Step by Step Solution

1. Step 1: Write the proportion equation
   16,194 : 35,436 = 35,436 : x
2. Step 2: Convert to fraction form
   16,194/35,436 = 35,436/x
3. Step 3: Cross multiply
   16,194x = 35,436 × 35,436
4. Step 4: Simplify right side
   16,194x = 1,255,710,096
5. Step 5: Solve for x
   x = 1,255,710,096/16,194
6. Step 6: Final answer
   x = 77,541.69