Finding the Third Proportional to 19,672 and 42,628

Step by Step Solution

1. Step 1: Write the proportion equation
   19,672 : 42,628 = 42,628 : x
2. Step 2: Convert to fraction form
   19,672/42,628 = 42,628/x
3. Step 3: Cross multiply
   19,672x = 42,628 × 42,628
4. Step 4: Simplify right side
   19,672x = 1,817,146,384
5. Step 5: Solve for x
   x = 1,817,146,384/19,672
6. Step 6: Final answer
   x = 92,372.22