Finding the Third Proportional to 31,835 and 65,263

Step by Step Solution

1. Step 1: Write the proportion equation
   31,835 : 65,263 = 65,263 : x
2. Step 2: Convert to fraction form
   31,835/65,263 = 65,263/x
3. Step 3: Cross multiply
   31,835x = 65,263 × 65,263
4. Step 4: Simplify right side
   31,835x = 4,259,259,169
5. Step 5: Solve for x
   x = 4,259,259,169/31,835
6. Step 6: Final answer
   x = 133,791.71