Finding the Third Proportional to 27,864 and 59,614

Step by Step Solution

1. Step 1: Write the proportion equation
   27,864 : 59,614 = 59,614 : x
2. Step 2: Convert to fraction form
   27,864/59,614 = 59,614/x
3. Step 3: Cross multiply
   27,864x = 59,614 × 59,614
4. Step 4: Simplify right side
   27,864x = 3,553,828,996
5. Step 5: Solve for x
   x = 3,553,828,996/27,864
6. Step 6: Final answer
   x = 127,541.95