Finding the Third Proportional to 22,584 and 35,412

Step by Step Solution

1. Step 1: Write the proportion equation
   22,584 : 35,412 = 35,412 : x
2. Step 2: Convert to fraction form
   22,584/35,412 = 35,412/x
3. Step 3: Cross multiply
   22,584x = 35,412 × 35,412
4. Step 4: Simplify right side
   22,584x = 1,254,009,744
5. Step 5: Solve for x
   x = 1,254,009,744/22,584
6. Step 6: Final answer
   x = 55,526.47