Finding the Third Proportional to 23,817 and 35,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,817 : 35,680.50 = 35,680.50 : x
2. Step 2: Convert to fraction form
   23,817/35,680.50 = 35,680.50/x
3. Step 3: Cross multiply
   23,817x = 35,680.50 × 35,680.50
4. Step 4: Simplify right side
   23,817x = 1,273,098,080.25
5. Step 5: Solve for x
   x = 1,273,098,080.25/23,817
6. Step 6: Final answer
   x = 53,453.34