Finding the Third Proportional to 13,060 and 31,570

Step by Step Solution

1. Step 1: Write the proportion equation
   13,060 : 31,570 = 31,570 : x
2. Step 2: Convert to fraction form
   13,060/31,570 = 31,570/x
3. Step 3: Cross multiply
   13,060x = 31,570 × 31,570
4. Step 4: Simplify right side
   13,060x = 996,664,900
5. Step 5: Solve for x
   x = 996,664,900/13,060
6. Step 6: Final answer
   x = 76,314.31