Finding the Third Proportional to 26,865 and 42,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,865 : 42,529.50 = 42,529.50 : x
2. Step 2: Convert to fraction form
   26,865/42,529.50 = 42,529.50/x
3. Step 3: Cross multiply
   26,865x = 42,529.50 × 42,529.50
4. Step 4: Simplify right side
   26,865x = 1,808,758,370.25
5. Step 5: Solve for x
   x = 1,808,758,370.25/26,865
6. Step 6: Final answer
   x = 67,327.69