Finding the Third Proportional to 65,674 and 101,590

Step by Step Solution

1. Step 1: Write the proportion equation
   65,674 : 101,590 = 101,590 : x
2. Step 2: Convert to fraction form
   65,674/101,590 = 101,590/x
3. Step 3: Cross multiply
   65,674x = 101,590 × 101,590
4. Step 4: Simplify right side
   65,674x = 10,320,528,100
5. Step 5: Solve for x
   x = 10,320,528,100/65,674
6. Step 6: Final answer
   x = 157,147.85