Finding the Third Proportional to 27,392 and 42,296

Step by Step Solution

1. Step 1: Write the proportion equation
   27,392 : 42,296 = 42,296 : x
2. Step 2: Convert to fraction form
   27,392/42,296 = 42,296/x
3. Step 3: Cross multiply
   27,392x = 42,296 × 42,296
4. Step 4: Simplify right side
   27,392x = 1,788,951,616
5. Step 5: Solve for x
   x = 1,788,951,616/27,392
6. Step 6: Final answer
   x = 65,309.27