Finding the Third Proportional to 52,814 and 76,842

Step by Step Solution

1. Step 1: Write the proportion equation
   52,814 : 76,842 = 76,842 : x
2. Step 2: Convert to fraction form
   52,814/76,842 = 76,842/x
3. Step 3: Cross multiply
   52,814x = 76,842 × 76,842
4. Step 4: Simplify right side
   52,814x = 5,904,692,964
5. Step 5: Solve for x
   x = 5,904,692,964/52,814
6. Step 6: Final answer
   x = 111,801.66