Finding the Third Proportional to 13,970.81 and 21,136.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,970.81 : 21,136.78 = 21,136.78 : x
2. Step 2: Convert to fraction form
   13,970.81/21,136.78 = 21,136.78/x
3. Step 3: Cross multiply
   13,970.81x = 21,136.78 × 21,136.78
4. Step 4: Simplify right side
   13,970.81x = 446,763,521.61
5. Step 5: Solve for x
   x = 446,763,521.61/13,970.81
6. Step 6: Final answer
   x = 31,978.35