Finding the Third Proportional to 31,594 and 52,647

Step by Step Solution

1. Step 1: Write the proportion equation
   31,594 : 52,647 = 52,647 : x
2. Step 2: Convert to fraction form
   31,594/52,647 = 52,647/x
3. Step 3: Cross multiply
   31,594x = 52,647 × 52,647
4. Step 4: Simplify right side
   31,594x = 2,771,706,609
5. Step 5: Solve for x
   x = 2,771,706,609/31,594
6. Step 6: Final answer
   x = 87,728.89