Finding the Third Proportional to 36,588 and 74,904

Step by Step Solution

1. Step 1: Write the proportion equation
   36,588 : 74,904 = 74,904 : x
2. Step 2: Convert to fraction form
   36,588/74,904 = 74,904/x
3. Step 3: Cross multiply
   36,588x = 74,904 × 74,904
4. Step 4: Simplify right side
   36,588x = 5,610,609,216
5. Step 5: Solve for x
   x = 5,610,609,216/36,588
6. Step 6: Final answer
   x = 153,345.61