Finding the Third Proportional to 34,224 and 73,558

Step by Step Solution

1. Step 1: Write the proportion equation
   34,224 : 73,558 = 73,558 : x
2. Step 2: Convert to fraction form
   34,224/73,558 = 73,558/x
3. Step 3: Cross multiply
   34,224x = 73,558 × 73,558
4. Step 4: Simplify right side
   34,224x = 5,410,779,364
5. Step 5: Solve for x
   x = 5,410,779,364/34,224
6. Step 6: Final answer
   x = 158,098.98