Finding the Third Proportional to 16,141 and 35,476

Step by Step Solution

1. Step 1: Write the proportion equation
   16,141 : 35,476 = 35,476 : x
2. Step 2: Convert to fraction form
   16,141/35,476 = 35,476/x
3. Step 3: Cross multiply
   16,141x = 35,476 × 35,476
4. Step 4: Simplify right side
   16,141x = 1,258,546,576
5. Step 5: Solve for x
   x = 1,258,546,576/16,141
6. Step 6: Final answer
   x = 77,972.03