Finding the Third Proportional to 9,101 and 13,641

Step by Step Solution

1. Step 1: Write the proportion equation
   9,101 : 13,641 = 13,641 : x
2. Step 2: Convert to fraction form
   9,101/13,641 = 13,641/x
3. Step 3: Cross multiply
   9,101x = 13,641 × 13,641
4. Step 4: Simplify right side
   9,101x = 186,076,881
5. Step 5: Solve for x
   x = 186,076,881/9,101
6. Step 6: Final answer
   x = 20,445.76