Finding the Third Proportional to 24,407 and 35,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,407 : 35,683.50 = 35,683.50 : x
2. Step 2: Convert to fraction form
   24,407/35,683.50 = 35,683.50/x
3. Step 3: Cross multiply
   24,407x = 35,683.50 × 35,683.50
4. Step 4: Simplify right side
   24,407x = 1,273,312,172.25
5. Step 5: Solve for x
   x = 1,273,312,172.25/24,407
6. Step 6: Final answer
   x = 52,169.96