Finding the Third Proportional to 34,588 and 53,500

Step by Step Solution

1. Step 1: Write the proportion equation
   34,588 : 53,500 = 53,500 : x
2. Step 2: Convert to fraction form
   34,588/53,500 = 53,500/x
3. Step 3: Cross multiply
   34,588x = 53,500 × 53,500
4. Step 4: Simplify right side
   34,588x = 2,862,250,000
5. Step 5: Solve for x
   x = 2,862,250,000/34,588
6. Step 6: Final answer
   x = 82,752.69