Finding the Third Proportional to 35,980 and 73,688

Step by Step Solution

1. Step 1: Write the proportion equation
   35,980 : 73,688 = 73,688 : x
2. Step 2: Convert to fraction form
   35,980/73,688 = 73,688/x
3. Step 3: Cross multiply
   35,980x = 73,688 × 73,688
4. Step 4: Simplify right side
   35,980x = 5,429,921,344
5. Step 5: Solve for x
   x = 5,429,921,344/35,980
6. Step 6: Final answer
   x = 150,914.99