Finding the Third Proportional to 15,942 and 33,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,942 : 33,706.50 = 33,706.50 : x
2. Step 2: Convert to fraction form
   15,942/33,706.50 = 33,706.50/x
3. Step 3: Cross multiply
   15,942x = 33,706.50 × 33,706.50
4. Step 4: Simplify right side
   15,942x = 1,136,128,142.25
5. Step 5: Solve for x
   x = 1,136,128,142.25/15,942
6. Step 6: Final answer
   x = 71,266.35