Finding the Third Proportional to 26,782.50 and 58,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,782.50 : 58,819.50 = 58,819.50 : x
2. Step 2: Convert to fraction form
   26,782.50/58,819.50 = 58,819.50/x
3. Step 3: Cross multiply
   26,782.50x = 58,819.50 × 58,819.50
4. Step 4: Simplify right side
   26,782.50x = 3,459,733,580.25
5. Step 5: Solve for x
   x = 3,459,733,580.25/26,782.50
6. Step 6: Final answer
   x = 129,178.89