Finding the Third Proportional to 26,581 and 58,322

Step by Step Solution

1. Step 1: Write the proportion equation
   26,581 : 58,322 = 58,322 : x
2. Step 2: Convert to fraction form
   26,581/58,322 = 58,322/x
3. Step 3: Cross multiply
   26,581x = 58,322 × 58,322
4. Step 4: Simplify right side
   26,581x = 3,401,455,684
5. Step 5: Solve for x
   x = 3,401,455,684/26,581
6. Step 6: Final answer
   x = 127,965.68