Finding the Third Proportional to 23,076 and 35,584

Step by Step Solution

1. Step 1: Write the proportion equation
   23,076 : 35,584 = 35,584 : x
2. Step 2: Convert to fraction form
   23,076/35,584 = 35,584/x
3. Step 3: Cross multiply
   23,076x = 35,584 × 35,584
4. Step 4: Simplify right side
   23,076x = 1,266,221,056
5. Step 5: Solve for x
   x = 1,266,221,056/23,076
6. Step 6: Final answer
   x = 54,871.77