Finding the Third Proportional to 52,001 and 74,308

Step by Step Solution

1. Step 1: Write the proportion equation
   52,001 : 74,308 = 74,308 : x
2. Step 2: Convert to fraction form
   52,001/74,308 = 74,308/x
3. Step 3: Cross multiply
   52,001x = 74,308 × 74,308
4. Step 4: Simplify right side
   52,001x = 5,521,678,864
5. Step 5: Solve for x
   x = 5,521,678,864/52,001
6. Step 6: Final answer
   x = 106,184.09