Finding the Third Proportional to 31,754 and 69,774

Step by Step Solution

1. Step 1: Write the proportion equation
   31,754 : 69,774 = 69,774 : x
2. Step 2: Convert to fraction form
   31,754/69,774 = 69,774/x
3. Step 3: Cross multiply
   31,754x = 69,774 × 69,774
4. Step 4: Simplify right side
   31,754x = 4,868,411,076
5. Step 5: Solve for x
   x = 4,868,411,076/31,754
6. Step 6: Final answer
   x = 153,316.47