Finding the Third Proportional to 58,597 and 82,969

Step by Step Solution

1. Step 1: Write the proportion equation
   58,597 : 82,969 = 82,969 : x
2. Step 2: Convert to fraction form
   58,597/82,969 = 82,969/x
3. Step 3: Cross multiply
   58,597x = 82,969 × 82,969
4. Step 4: Simplify right side
   58,597x = 6,883,854,961
5. Step 5: Solve for x
   x = 6,883,854,961/58,597
6. Step 6: Final answer
   x = 117,477.94