Finding the Third Proportional to 33,639 and 45,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,639 : 45,706.50 = 45,706.50 : x
2. Step 2: Convert to fraction form
   33,639/45,706.50 = 45,706.50/x
3. Step 3: Cross multiply
   33,639x = 45,706.50 × 45,706.50
4. Step 4: Simplify right side
   33,639x = 2,089,084,142.25
5. Step 5: Solve for x
   x = 2,089,084,142.25/33,639
6. Step 6: Final answer
   x = 62,103.04