Finding the Third Proportional to 13,641.75 and 31,897.13

Step by Step Solution

1. Step 1: Write the proportion equation
   13,641.75 : 31,897.13 = 31,897.13 : x
2. Step 2: Convert to fraction form
   13,641.75/31,897.13 = 31,897.13/x
3. Step 3: Cross multiply
   13,641.75x = 31,897.13 × 31,897.13
4. Step 4: Simplify right side
   13,641.75x = 1,017,426,583.27
5. Step 5: Solve for x
   x = 1,017,426,583.27/13,641.75
6. Step 6: Final answer
   x = 74,581.82