Finding the Third Proportional to 13,770 and 31,590

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 31,590 = 31,590 : x
2. Step 2: Convert to fraction form
   13,770/31,590 = 31,590/x
3. Step 3: Cross multiply
   13,770x = 31,590 × 31,590
4. Step 4: Simplify right side
   13,770x = 997,928,100
5. Step 5: Solve for x
   x = 997,928,100/13,770
6. Step 6: Final answer
   x = 72,471.18