Finding the Third Proportional to 59,076 and 82,740

Step by Step Solution

1. Step 1: Write the proportion equation
   59,076 : 82,740 = 82,740 : x
2. Step 2: Convert to fraction form
   59,076/82,740 = 82,740/x
3. Step 3: Cross multiply
   59,076x = 82,740 × 82,740
4. Step 4: Simplify right side
   59,076x = 6,845,907,600
5. Step 5: Solve for x
   x = 6,845,907,600/59,076
6. Step 6: Final answer
   x = 115,883.06