Finding the Third Proportional to 16,378 and 35,342

Step by Step Solution

1. Step 1: Write the proportion equation
   16,378 : 35,342 = 35,342 : x
2. Step 2: Convert to fraction form
   16,378/35,342 = 35,342/x
3. Step 3: Cross multiply
   16,378x = 35,342 × 35,342
4. Step 4: Simplify right side
   16,378x = 1,249,056,964
5. Step 5: Solve for x
   x = 1,249,056,964/16,378
6. Step 6: Final answer
   x = 76,264.32