Finding the Third Proportional to 22,588 and 31,778

Step by Step Solution

1. Step 1: Write the proportion equation
   22,588 : 31,778 = 31,778 : x
2. Step 2: Convert to fraction form
   22,588/31,778 = 31,778/x
3. Step 3: Cross multiply
   22,588x = 31,778 × 31,778
4. Step 4: Simplify right side
   22,588x = 1,009,841,284
5. Step 5: Solve for x
   x = 1,009,841,284/22,588
6. Step 6: Final answer
   x = 44,706.98