Finding the Third Proportional to 23,465 and 35,186

Step by Step Solution

1. Step 1: Write the proportion equation
   23,465 : 35,186 = 35,186 : x
2. Step 2: Convert to fraction form
   23,465/35,186 = 35,186/x
3. Step 3: Cross multiply
   23,465x = 35,186 × 35,186
4. Step 4: Simplify right side
   23,465x = 1,238,054,596
5. Step 5: Solve for x
   x = 1,238,054,596/23,465
6. Step 6: Final answer
   x = 52,761.76