Finding the Third Proportional to 31,846 and 69,222

Step by Step Solution

1. Step 1: Write the proportion equation
   31,846 : 69,222 = 69,222 : x
2. Step 2: Convert to fraction form
   31,846/69,222 = 69,222/x
3. Step 3: Cross multiply
   31,846x = 69,222 × 69,222
4. Step 4: Simplify right side
   31,846x = 4,791,685,284
5. Step 5: Solve for x
   x = 4,791,685,284/31,846
6. Step 6: Final answer
   x = 150,464.27