Finding the Third Proportional to 30,672 and 45,738

Step by Step Solution

1. Step 1: Write the proportion equation
   30,672 : 45,738 = 45,738 : x
2. Step 2: Convert to fraction form
   30,672/45,738 = 45,738/x
3. Step 3: Cross multiply
   30,672x = 45,738 × 45,738
4. Step 4: Simplify right side
   30,672x = 2,091,964,644
5. Step 5: Solve for x
   x = 2,091,964,644/30,672
6. Step 6: Final answer
   x = 68,204.38