Finding the Third Proportional to 31,581 and 69,519

Step by Step Solution

1. Step 1: Write the proportion equation
   31,581 : 69,519 = 69,519 : x
2. Step 2: Convert to fraction form
   31,581/69,519 = 69,519/x
3. Step 3: Cross multiply
   31,581x = 69,519 × 69,519
4. Step 4: Simplify right side
   31,581x = 4,832,891,361
5. Step 5: Solve for x
   x = 4,832,891,361/31,581
6. Step 6: Final answer
   x = 153,031.61