Finding the Third Proportional to 31,130 and 65,296

Step by Step Solution

1. Step 1: Write the proportion equation
   31,130 : 65,296 = 65,296 : x
2. Step 2: Convert to fraction form
   31,130/65,296 = 65,296/x
3. Step 3: Cross multiply
   31,130x = 65,296 × 65,296
4. Step 4: Simplify right side
   31,130x = 4,263,567,616
5. Step 5: Solve for x
   x = 4,263,567,616/31,130
6. Step 6: Final answer
   x = 136,960.09