Finding the Third Proportional to 27,196 and 59,374

Step by Step Solution

1. Step 1: Write the proportion equation
   27,196 : 59,374 = 59,374 : x
2. Step 2: Convert to fraction form
   27,196/59,374 = 59,374/x
3. Step 3: Cross multiply
   27,196x = 59,374 × 59,374
4. Step 4: Simplify right side
   27,196x = 3,525,271,876
5. Step 5: Solve for x
   x = 3,525,271,876/27,196
6. Step 6: Final answer
   x = 129,624.65