Finding the Third Proportional to 31,984 and 69,748

Step by Step Solution

1. Step 1: Write the proportion equation
   31,984 : 69,748 = 69,748 : x
2. Step 2: Convert to fraction form
   31,984/69,748 = 69,748/x
3. Step 3: Cross multiply
   31,984x = 69,748 × 69,748
4. Step 4: Simplify right side
   31,984x = 4,864,783,504
5. Step 5: Solve for x
   x = 4,864,783,504/31,984
6. Step 6: Final answer
   x = 152,100.53