Finding the Third Proportional to 31,756 and 69,156

Step by Step Solution

1. Step 1: Write the proportion equation
   31,756 : 69,156 = 69,156 : x
2. Step 2: Convert to fraction form
   31,756/69,156 = 69,156/x
3. Step 3: Cross multiply
   31,756x = 69,156 × 69,156
4. Step 4: Simplify right side
   31,756x = 4,782,552,336
5. Step 5: Solve for x
   x = 4,782,552,336/31,756
6. Step 6: Final answer
   x = 150,603.11