Finding the Third Proportional to 27,641 and 59,188

Step by Step Solution

1. Step 1: Write the proportion equation
   27,641 : 59,188 = 59,188 : x
2. Step 2: Convert to fraction form
   27,641/59,188 = 59,188/x
3. Step 3: Cross multiply
   27,641x = 59,188 × 59,188
4. Step 4: Simplify right side
   27,641x = 3,503,219,344
5. Step 5: Solve for x
   x = 3,503,219,344/27,641
6. Step 6: Final answer
   x = 126,739.96