Finding the Third Proportional to 52,416 and 73,008

Step by Step Solution

1. Step 1: Write the proportion equation
   52,416 : 73,008 = 73,008 : x
2. Step 2: Convert to fraction form
   52,416/73,008 = 73,008/x
3. Step 3: Cross multiply
   52,416x = 73,008 × 73,008
4. Step 4: Simplify right side
   52,416x = 5,330,168,064
5. Step 5: Solve for x
   x = 5,330,168,064/52,416
6. Step 6: Final answer
   x = 101,689.71