Finding the Third Proportional to 27,757 and 42,326

Step by Step Solution

1. Step 1: Write the proportion equation
   27,757 : 42,326 = 42,326 : x
2. Step 2: Convert to fraction form
   27,757/42,326 = 42,326/x
3. Step 3: Cross multiply
   27,757x = 42,326 × 42,326
4. Step 4: Simplify right side
   27,757x = 1,791,490,276
5. Step 5: Solve for x
   x = 1,791,490,276/27,757
6. Step 6: Final answer
   x = 64,541.93