Finding the Third Proportional to 31,936 and 69,411

Step by Step Solution

1. Step 1: Write the proportion equation
   31,936 : 69,411 = 69,411 : x
2. Step 2: Convert to fraction form
   31,936/69,411 = 69,411/x
3. Step 3: Cross multiply
   31,936x = 69,411 × 69,411
4. Step 4: Simplify right side
   31,936x = 4,817,886,921
5. Step 5: Solve for x
   x = 4,817,886,921/31,936
6. Step 6: Final answer
   x = 150,860.69