Finding the Third Proportional to 31,524.75 and 47,525.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,524.75 : 47,525.63 = 47,525.63 : x
2. Step 2: Convert to fraction form
   31,524.75/47,525.63 = 47,525.63/x
3. Step 3: Cross multiply
   31,524.75x = 47,525.63 × 47,525.63
4. Step 4: Simplify right side
   31,524.75x = 2,258,685,031.64
5. Step 5: Solve for x
   x = 2,258,685,031.64/31,524.75
6. Step 6: Final answer
   x = 71,647.99