Finding the Third Proportional to 34,576 and 53,484

Step by Step Solution

1. Step 1: Write the proportion equation
   34,576 : 53,484 = 53,484 : x
2. Step 2: Convert to fraction form
   34,576/53,484 = 53,484/x
3. Step 3: Cross multiply
   34,576x = 53,484 × 53,484
4. Step 4: Simplify right side
   34,576x = 2,860,538,256
5. Step 5: Solve for x
   x = 2,860,538,256/34,576
6. Step 6: Final answer
   x = 82,731.90