Finding the Third Proportional to 22,588 and 34,772

Step by Step Solution

1. Step 1: Write the proportion equation
   22,588 : 34,772 = 34,772 : x
2. Step 2: Convert to fraction form
   22,588/34,772 = 34,772/x
3. Step 3: Cross multiply
   22,588x = 34,772 × 34,772
4. Step 4: Simplify right side
   22,588x = 1,209,091,984
5. Step 5: Solve for x
   x = 1,209,091,984/22,588
6. Step 6: Final answer
   x = 53,528.07