Finding the Third Proportional to 23,117 and 35,865

Step by Step Solution

1. Step 1: Write the proportion equation
   23,117 : 35,865 = 35,865 : x
2. Step 2: Convert to fraction form
   23,117/35,865 = 35,865/x
3. Step 3: Cross multiply
   23,117x = 35,865 × 35,865
4. Step 4: Simplify right side
   23,117x = 1,286,298,225
5. Step 5: Solve for x
   x = 1,286,298,225/23,117
6. Step 6: Final answer
   x = 55,642.96