Finding the Third Proportional to 31,745 and 69,634

Step by Step Solution

1. Step 1: Write the proportion equation
   31,745 : 69,634 = 69,634 : x
2. Step 2: Convert to fraction form
   31,745/69,634 = 69,634/x
3. Step 3: Cross multiply
   31,745x = 69,634 × 69,634
4. Step 4: Simplify right side
   31,745x = 4,848,893,956
5. Step 5: Solve for x
   x = 4,848,893,956/31,745
6. Step 6: Final answer
   x = 152,745.12