Finding the Third Proportional to 52,780 and 74,562

Step by Step Solution

1. Step 1: Write the proportion equation
   52,780 : 74,562 = 74,562 : x
2. Step 2: Convert to fraction form
   52,780/74,562 = 74,562/x
3. Step 3: Cross multiply
   52,780x = 74,562 × 74,562
4. Step 4: Simplify right side
   52,780x = 5,559,491,844
5. Step 5: Solve for x
   x = 5,559,491,844/52,780
6. Step 6: Final answer
   x = 105,333.31