Finding the Third Proportional to 23,796 and 35,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,796 : 35,416.50 = 35,416.50 : x
2. Step 2: Convert to fraction form
   23,796/35,416.50 = 35,416.50/x
3. Step 3: Cross multiply
   23,796x = 35,416.50 × 35,416.50
4. Step 4: Simplify right side
   23,796x = 1,254,328,472.25
5. Step 5: Solve for x
   x = 1,254,328,472.25/23,796
6. Step 6: Final answer
   x = 52,711.74