Finding the Third Proportional to 31,978 and 69,532

Step by Step Solution

1. Step 1: Write the proportion equation
   31,978 : 69,532 = 69,532 : x
2. Step 2: Convert to fraction form
   31,978/69,532 = 69,532/x
3. Step 3: Cross multiply
   31,978x = 69,532 × 69,532
4. Step 4: Simplify right side
   31,978x = 4,834,699,024
5. Step 5: Solve for x
   x = 4,834,699,024/31,978
6. Step 6: Final answer
   x = 151,188.29