Finding the Third Proportional to 32,004 and 74,764

Step by Step Solution

1. Step 1: Write the proportion equation
   32,004 : 74,764 = 74,764 : x
2. Step 2: Convert to fraction form
   32,004/74,764 = 74,764/x
3. Step 3: Cross multiply
   32,004x = 74,764 × 74,764
4. Step 4: Simplify right side
   32,004x = 5,589,655,696
5. Step 5: Solve for x
   x = 5,589,655,696/32,004
6. Step 6: Final answer
   x = 174,654.91