Finding the Third Proportional to 65,382 and 103,587

Step by Step Solution

1. Step 1: Write the proportion equation
   65,382 : 103,587 = 103,587 : x
2. Step 2: Convert to fraction form
   65,382/103,587 = 103,587/x
3. Step 3: Cross multiply
   65,382x = 103,587 × 103,587
4. Step 4: Simplify right side
   65,382x = 10,730,266,569
5. Step 5: Solve for x
   x = 10,730,266,569/65,382
6. Step 6: Final answer
   x = 164,116.52