Finding the Third Proportional to 59,536 and 101,400

Step by Step Solution

1. Step 1: Write the proportion equation
   59,536 : 101,400 = 101,400 : x
2. Step 2: Convert to fraction form
   59,536/101,400 = 101,400/x
3. Step 3: Cross multiply
   59,536x = 101,400 × 101,400
4. Step 4: Simplify right side
   59,536x = 10,281,960,000
5. Step 5: Solve for x
   x = 10,281,960,000/59,536
6. Step 6: Final answer
   x = 172,701.56