Finding the Third Proportional to 31,586 and 69,117

Step by Step Solution

1. Step 1: Write the proportion equation
   31,586 : 69,117 = 69,117 : x
2. Step 2: Convert to fraction form
   31,586/69,117 = 69,117/x
3. Step 3: Cross multiply
   31,586x = 69,117 × 69,117
4. Step 4: Simplify right side
   31,586x = 4,777,159,689
5. Step 5: Solve for x
   x = 4,777,159,689/31,586
6. Step 6: Final answer
   x = 151,242.95