Finding the Third Proportional to 31,207 and 65,007

Step by Step Solution

1. Step 1: Write the proportion equation
   31,207 : 65,007 = 65,007 : x
2. Step 2: Convert to fraction form
   31,207/65,007 = 65,007/x
3. Step 3: Cross multiply
   31,207x = 65,007 × 65,007
4. Step 4: Simplify right side
   31,207x = 4,225,910,049
5. Step 5: Solve for x
   x = 4,225,910,049/31,207
6. Step 6: Final answer
   x = 135,415.45