Finding the Third Proportional to 31,209 and 65,011

Step by Step Solution

1. Step 1: Write the proportion equation
   31,209 : 65,011 = 65,011 : x
2. Step 2: Convert to fraction form
   31,209/65,011 = 65,011/x
3. Step 3: Cross multiply
   31,209x = 65,011 × 65,011
4. Step 4: Simplify right side
   31,209x = 4,226,430,121
5. Step 5: Solve for x
   x = 4,226,430,121/31,209
6. Step 6: Final answer
   x = 135,423.44