Finding the Third Proportional to 31,998 and 69,774

Step by Step Solution

1. Step 1: Write the proportion equation
   31,998 : 69,774 = 69,774 : x
2. Step 2: Convert to fraction form
   31,998/69,774 = 69,774/x
3. Step 3: Cross multiply
   31,998x = 69,774 × 69,774
4. Step 4: Simplify right side
   31,998x = 4,868,411,076
5. Step 5: Solve for x
   x = 4,868,411,076/31,998
6. Step 6: Final answer
   x = 152,147.36