Finding the Third Proportional to 43,174 and 65,658

Step by Step Solution

1. Step 1: Write the proportion equation
   43,174 : 65,658 = 65,658 : x
2. Step 2: Convert to fraction form
   43,174/65,658 = 65,658/x
3. Step 3: Cross multiply
   43,174x = 65,658 × 65,658
4. Step 4: Simplify right side
   43,174x = 4,310,972,964
5. Step 5: Solve for x
   x = 4,310,972,964/43,174
6. Step 6: Final answer
   x = 99,851.14