Finding the Third Proportional to 27,834 and 59,558

Step by Step Solution

1. Step 1: Write the proportion equation
   27,834 : 59,558 = 59,558 : x
2. Step 2: Convert to fraction form
   27,834/59,558 = 59,558/x
3. Step 3: Cross multiply
   27,834x = 59,558 × 59,558
4. Step 4: Simplify right side
   27,834x = 3,547,155,364
5. Step 5: Solve for x
   x = 3,547,155,364/27,834
6. Step 6: Final answer
   x = 127,439.66