Finding the Third Proportional to 31,784 and 69,102

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784 : 69,102 = 69,102 : x
2. Step 2: Convert to fraction form
   31,784/69,102 = 69,102/x
3. Step 3: Cross multiply
   31,784x = 69,102 × 69,102
4. Step 4: Simplify right side
   31,784x = 4,775,086,404
5. Step 5: Solve for x
   x = 4,775,086,404/31,784
6. Step 6: Final answer
   x = 150,235.54