Finding the Third Proportional to 30,846 and 45,693

Step by Step Solution

1. Step 1: Write the proportion equation
   30,846 : 45,693 = 45,693 : x
2. Step 2: Convert to fraction form
   30,846/45,693 = 45,693/x
3. Step 3: Cross multiply
   30,846x = 45,693 × 45,693
4. Step 4: Simplify right side
   30,846x = 2,087,850,249
5. Step 5: Solve for x
   x = 2,087,850,249/30,846
6. Step 6: Final answer
   x = 67,686.26