Finding the Third Proportional to 71,531 and 105,105

Step by Step Solution

1. Step 1: Write the proportion equation
   71,531 : 105,105 = 105,105 : x
2. Step 2: Convert to fraction form
   71,531/105,105 = 105,105/x
3. Step 3: Cross multiply
   71,531x = 105,105 × 105,105
4. Step 4: Simplify right side
   71,531x = 11,047,061,025
5. Step 5: Solve for x
   x = 11,047,061,025/71,531
6. Step 6: Final answer
   x = 154,437.39