Finding the Third Proportional to 31,772.25 and 69,077.81

Step by Step Solution

1. Step 1: Write the proportion equation
   31,772.25 : 69,077.81 = 69,077.81 : x
2. Step 2: Convert to fraction form
   31,772.25/69,077.81 = 69,077.81/x
3. Step 3: Cross multiply
   31,772.25x = 69,077.81 × 69,077.81
4. Step 4: Simplify right side
   31,772.25x = 4,771,744,179.79
5. Step 5: Solve for x
   x = 4,771,744,179.79/31,772.25
6. Step 6: Final answer
   x = 150,185.91