Finding the Third Proportional to 23,415 and 35,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,415 : 35,086.50 = 35,086.50 : x
2. Step 2: Convert to fraction form
   23,415/35,086.50 = 35,086.50/x
3. Step 3: Cross multiply
   23,415x = 35,086.50 × 35,086.50
4. Step 4: Simplify right side
   23,415x = 1,231,062,482.25
5. Step 5: Solve for x
   x = 1,231,062,482.25/23,415
6. Step 6: Final answer
   x = 52,575.81