Finding the Third Proportional to 16,748 and 35,512

Step by Step Solution

1. Step 1: Write the proportion equation
   16,748 : 35,512 = 35,512 : x
2. Step 2: Convert to fraction form
   16,748/35,512 = 35,512/x
3. Step 3: Cross multiply
   16,748x = 35,512 × 35,512
4. Step 4: Simplify right side
   16,748x = 1,261,102,144
5. Step 5: Solve for x
   x = 1,261,102,144/16,748
6. Step 6: Final answer
   x = 75,298.67