Finding the Third Proportional to 24,381 and 34,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,381 : 34,015.50 = 34,015.50 : x
2. Step 2: Convert to fraction form
   24,381/34,015.50 = 34,015.50/x
3. Step 3: Cross multiply
   24,381x = 34,015.50 × 34,015.50
4. Step 4: Simplify right side
   24,381x = 1,157,054,240.25
5. Step 5: Solve for x
   x = 1,157,054,240.25/24,381
6. Step 6: Final answer
   x = 47,457.21