Finding the Third Proportional to 52,004 and 74,314

Step by Step Solution

1. Step 1: Write the proportion equation
   52,004 : 74,314 = 74,314 : x
2. Step 2: Convert to fraction form
   52,004/74,314 = 74,314/x
3. Step 3: Cross multiply
   52,004x = 74,314 × 74,314
4. Step 4: Simplify right side
   52,004x = 5,522,570,596
5. Step 5: Solve for x
   x = 5,522,570,596/52,004
6. Step 6: Final answer
   x = 106,195.11