Finding the Third Proportional to 35,316 and 73,506

Step by Step Solution

1. Step 1: Write the proportion equation
   35,316 : 73,506 = 73,506 : x
2. Step 2: Convert to fraction form
   35,316/73,506 = 73,506/x
3. Step 3: Cross multiply
   35,316x = 73,506 × 73,506
4. Step 4: Simplify right side
   35,316x = 5,403,132,036
5. Step 5: Solve for x
   x = 5,403,132,036/35,316
6. Step 6: Final answer
   x = 152,993.88