Finding the Third Proportional to 34,752 and 75,014

Step by Step Solution

1. Step 1: Write the proportion equation
   34,752 : 75,014 = 75,014 : x
2. Step 2: Convert to fraction form
   34,752/75,014 = 75,014/x
3. Step 3: Cross multiply
   34,752x = 75,014 × 75,014
4. Step 4: Simplify right side
   34,752x = 5,627,100,196
5. Step 5: Solve for x
   x = 5,627,100,196/34,752
6. Step 6: Final answer
   x = 161,921.62