Finding the Third Proportional to 22,584 and 35,126.25

Step by Step Solution

1. Step 1: Write the proportion equation
   22,584 : 35,126.25 = 35,126.25 : x
2. Step 2: Convert to fraction form
   22,584/35,126.25 = 35,126.25/x
3. Step 3: Cross multiply
   22,584x = 35,126.25 × 35,126.25
4. Step 4: Simplify right side
   22,584x = 1,233,853,439.06
5. Step 5: Solve for x
   x = 1,233,853,439.06/22,584
6. Step 6: Final answer
   x = 54,633.96