Finding the Third Proportional to 33,027 and 72,615

Step by Step Solution

1. Step 1: Write the proportion equation
   33,027 : 72,615 = 72,615 : x
2. Step 2: Convert to fraction form
   33,027/72,615 = 72,615/x
3. Step 3: Cross multiply
   33,027x = 72,615 × 72,615
4. Step 4: Simplify right side
   33,027x = 5,272,938,225
5. Step 5: Solve for x
   x = 5,272,938,225/33,027
6. Step 6: Final answer
   x = 159,655.38