Finding the Third Proportional to 31,844 and 69,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,844 : 69,224.50 = 69,224.50 : x
2. Step 2: Convert to fraction form
   31,844/69,224.50 = 69,224.50/x
3. Step 3: Cross multiply
   31,844x = 69,224.50 × 69,224.50
4. Step 4: Simplify right side
   31,844x = 4,792,031,400.25
5. Step 5: Solve for x
   x = 4,792,031,400.25/31,844
6. Step 6: Final answer
   x = 150,484.59