Finding the Third Proportional to 31,807 and 69,080

Step by Step Solution

1. Step 1: Write the proportion equation
   31,807 : 69,080 = 69,080 : x
2. Step 2: Convert to fraction form
   31,807/69,080 = 69,080/x
3. Step 3: Cross multiply
   31,807x = 69,080 × 69,080
4. Step 4: Simplify right side
   31,807x = 4,772,046,400
5. Step 5: Solve for x
   x = 4,772,046,400/31,807
6. Step 6: Final answer
   x = 150,031.33