Finding the Third Proportional to 27,345 and 42,840

Step by Step Solution

1. Step 1: Write the proportion equation
   27,345 : 42,840 = 42,840 : x
2. Step 2: Convert to fraction form
   27,345/42,840 = 42,840/x
3. Step 3: Cross multiply
   27,345x = 42,840 × 42,840
4. Step 4: Simplify right side
   27,345x = 1,835,265,600
5. Step 5: Solve for x
   x = 1,835,265,600/27,345
6. Step 6: Final answer
   x = 67,115.22