Finding the Third Proportional to 31,569 and 69,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,569 : 69,076.50 = 69,076.50 : x
2. Step 2: Convert to fraction form
   31,569/69,076.50 = 69,076.50/x
3. Step 3: Cross multiply
   31,569x = 69,076.50 × 69,076.50
4. Step 4: Simplify right side
   31,569x = 4,771,562,852.25
5. Step 5: Solve for x
   x = 4,771,562,852.25/31,569
6. Step 6: Final answer
   x = 151,147.10