Finding the Third Proportional to 26,865 and 58,586.63

Step by Step Solution

1. Step 1: Write the proportion equation
   26,865 : 58,586.63 = 58,586.63 : x
2. Step 2: Convert to fraction form
   26,865/58,586.63 = 58,586.63/x
3. Step 3: Cross multiply
   26,865x = 58,586.63 × 58,586.63
4. Step 4: Simplify right side
   26,865x = 3,432,392,628.89
5. Step 5: Solve for x
   x = 3,432,392,628.89/26,865
6. Step 6: Final answer
   x = 127,764.48