Finding the Third Proportional to 19,314 and 41,434

Step by Step Solution

1. Step 1: Write the proportion equation
   19,314 : 41,434 = 41,434 : x
2. Step 2: Convert to fraction form
   19,314/41,434 = 41,434/x
3. Step 3: Cross multiply
   19,314x = 41,434 × 41,434
4. Step 4: Simplify right side
   19,314x = 1,716,776,356
5. Step 5: Solve for x
   x = 1,716,776,356/19,314
6. Step 6: Final answer
   x = 88,887.66