Finding the Third Proportional to 35,662 and 73,754

Step by Step Solution

1. Step 1: Write the proportion equation
   35,662 : 73,754 = 73,754 : x
2. Step 2: Convert to fraction form
   35,662/73,754 = 73,754/x
3. Step 3: Cross multiply
   35,662x = 73,754 × 73,754
4. Step 4: Simplify right side
   35,662x = 5,439,652,516
5. Step 5: Solve for x
   x = 5,439,652,516/35,662
6. Step 6: Final answer
   x = 152,533.58