Finding the Third Proportional to 35,976 and 73,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,976 : 73,381.50 = 73,381.50 : x
2. Step 2: Convert to fraction form
   35,976/73,381.50 = 73,381.50/x
3. Step 3: Cross multiply
   35,976x = 73,381.50 × 73,381.50
4. Step 4: Simplify right side
   35,976x = 5,384,844,542.25
5. Step 5: Solve for x
   x = 5,384,844,542.25/35,976
6. Step 6: Final answer
   x = 149,678.80