Finding the Third Proportional to 34,752 and 53,576

Step by Step Solution

1. Step 1: Write the proportion equation
   34,752 : 53,576 = 53,576 : x
2. Step 2: Convert to fraction form
   34,752/53,576 = 53,576/x
3. Step 3: Cross multiply
   34,752x = 53,576 × 53,576
4. Step 4: Simplify right side
   34,752x = 2,870,387,776
5. Step 5: Solve for x
   x = 2,870,387,776/34,752
6. Step 6: Final answer
   x = 82,596.33