Finding the Third Proportional to 31,436 and 66,364

Step by Step Solution

1. Step 1: Write the proportion equation
   31,436 : 66,364 = 66,364 : x
2. Step 2: Convert to fraction form
   31,436/66,364 = 66,364/x
3. Step 3: Cross multiply
   31,436x = 66,364 × 66,364
4. Step 4: Simplify right side
   31,436x = 4,404,180,496
5. Step 5: Solve for x
   x = 4,404,180,496/31,436
6. Step 6: Final answer
   x = 140,099.90