Finding the Third Proportional to 35,301 and 73,518

Step by Step Solution

1. Step 1: Write the proportion equation
   35,301 : 73,518 = 73,518 : x
2. Step 2: Convert to fraction form
   35,301/73,518 = 73,518/x
3. Step 3: Cross multiply
   35,301x = 73,518 × 73,518
4. Step 4: Simplify right side
   35,301x = 5,404,896,324
5. Step 5: Solve for x
   x = 5,404,896,324/35,301
6. Step 6: Final answer
   x = 153,108.87