Finding the Third Proportional to 31,677 and 69,633

Step by Step Solution

1. Step 1: Write the proportion equation
   31,677 : 69,633 = 69,633 : x
2. Step 2: Convert to fraction form
   31,677/69,633 = 69,633/x
3. Step 3: Cross multiply
   31,677x = 69,633 × 69,633
4. Step 4: Simplify right side
   31,677x = 4,848,754,689
5. Step 5: Solve for x
   x = 4,848,754,689/31,677
6. Step 6: Final answer
   x = 153,068.62