Finding the Third Proportional to 13,641.75 and 29,971.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,641.75 : 29,971.69 = 29,971.69 : x
2. Step 2: Convert to fraction form
   13,641.75/29,971.69 = 29,971.69/x
3. Step 3: Cross multiply
   13,641.75x = 29,971.69 × 29,971.69
4. Step 4: Simplify right side
   13,641.75x = 898,302,051.60
5. Step 5: Solve for x
   x = 898,302,051.60/13,641.75
6. Step 6: Final answer
   x = 65,849.47