Finding the Third Proportional to 34,588 and 75,500

Step by Step Solution

1. Step 1: Write the proportion equation
   34,588 : 75,500 = 75,500 : x
2. Step 2: Convert to fraction form
   34,588/75,500 = 75,500/x
3. Step 3: Cross multiply
   34,588x = 75,500 × 75,500
4. Step 4: Simplify right side
   34,588x = 5,700,250,000
5. Step 5: Solve for x
   x = 5,700,250,000/34,588
6. Step 6: Final answer
   x = 164,804.27