Finding the Third Proportional to 30,456 and 70,875

Step by Step Solution

1. Step 1: Write the proportion equation
   30,456 : 70,875 = 70,875 : x
2. Step 2: Convert to fraction form
   30,456/70,875 = 70,875/x
3. Step 3: Cross multiply
   30,456x = 70,875 × 70,875
4. Step 4: Simplify right side
   30,456x = 5,023,265,625
5. Step 5: Solve for x
   x = 5,023,265,625/30,456
6. Step 6: Final answer
   x = 164,935.17