Finding the Third Proportional to 24,381 and 32,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,381 : 32,683.50 = 32,683.50 : x
2. Step 2: Convert to fraction form
   24,381/32,683.50 = 32,683.50/x
3. Step 3: Cross multiply
   24,381x = 32,683.50 × 32,683.50
4. Step 4: Simplify right side
   24,381x = 1,068,211,172.25
5. Step 5: Solve for x
   x = 1,068,211,172.25/24,381
6. Step 6: Final answer
   x = 43,813.26