Finding the Third Proportional to 34,555 and 72,591

Step by Step Solution

1. Step 1: Write the proportion equation
   34,555 : 72,591 = 72,591 : x
2. Step 2: Convert to fraction form
   34,555/72,591 = 72,591/x
3. Step 3: Cross multiply
   34,555x = 72,591 × 72,591
4. Step 4: Simplify right side
   34,555x = 5,269,453,281
5. Step 5: Solve for x
   x = 5,269,453,281/34,555
6. Step 6: Final answer
   x = 152,494.67