Finding the Third Proportional to 23,076 and 35,838

Step by Step Solution

1. Step 1: Write the proportion equation
   23,076 : 35,838 = 35,838 : x
2. Step 2: Convert to fraction form
   23,076/35,838 = 35,838/x
3. Step 3: Cross multiply
   23,076x = 35,838 × 35,838
4. Step 4: Simplify right side
   23,076x = 1,284,362,244
5. Step 5: Solve for x
   x = 1,284,362,244/23,076
6. Step 6: Final answer
   x = 55,657.92