Finding the Third Proportional to 31,046 and 65,132

Step by Step Solution

1. Step 1: Write the proportion equation
   31,046 : 65,132 = 65,132 : x
2. Step 2: Convert to fraction form
   31,046/65,132 = 65,132/x
3. Step 3: Cross multiply
   31,046x = 65,132 × 65,132
4. Step 4: Simplify right side
   31,046x = 4,242,177,424
5. Step 5: Solve for x
   x = 4,242,177,424/31,046
6. Step 6: Final answer
   x = 136,641.67