Finding the Third Proportional to 31,846 and 69,356

Step by Step Solution

1. Step 1: Write the proportion equation
   31,846 : 69,356 = 69,356 : x
2. Step 2: Convert to fraction form
   31,846/69,356 = 69,356/x
3. Step 3: Cross multiply
   31,846x = 69,356 × 69,356
4. Step 4: Simplify right side
   31,846x = 4,810,254,736
5. Step 5: Solve for x
   x = 4,810,254,736/31,846
6. Step 6: Final answer
   x = 151,047.38