Finding the Third Proportional to 27,962 and 59,748

Step by Step Solution

1. Step 1: Write the proportion equation
   27,962 : 59,748 = 59,748 : x
2. Step 2: Convert to fraction form
   27,962/59,748 = 59,748/x
3. Step 3: Cross multiply
   27,962x = 59,748 × 59,748
4. Step 4: Simplify right side
   27,962x = 3,569,823,504
5. Step 5: Solve for x
   x = 3,569,823,504/27,962
6. Step 6: Final answer
   x = 127,666.96