Finding the Third Proportional to 27,340 and 42,148

Step by Step Solution

1. Step 1: Write the proportion equation
   27,340 : 42,148 = 42,148 : x
2. Step 2: Convert to fraction form
   27,340/42,148 = 42,148/x
3. Step 3: Cross multiply
   27,340x = 42,148 × 42,148
4. Step 4: Simplify right side
   27,340x = 1,776,453,904
5. Step 5: Solve for x
   x = 1,776,453,904/27,340
6. Step 6: Final answer
   x = 64,976.37