Finding the Third Proportional to 31,760 and 43,590

Step by Step Solution

1. Step 1: Write the proportion equation
   31,760 : 43,590 = 43,590 : x
2. Step 2: Convert to fraction form
   31,760/43,590 = 43,590/x
3. Step 3: Cross multiply
   31,760x = 43,590 × 43,590
4. Step 4: Simplify right side
   31,760x = 1,900,088,100
5. Step 5: Solve for x
   x = 1,900,088,100/31,760
6. Step 6: Final answer
   x = 59,826.45