Finding the Third Proportional to 14,640 and 31,501

Step by Step Solution

1. Step 1: Write the proportion equation
   14,640 : 31,501 = 31,501 : x
2. Step 2: Convert to fraction form
   14,640/31,501 = 31,501/x
3. Step 3: Cross multiply
   14,640x = 31,501 × 31,501
4. Step 4: Simplify right side
   14,640x = 992,313,001
5. Step 5: Solve for x
   x = 992,313,001/14,640
6. Step 6: Final answer
   x = 67,780.94