Finding the Third Proportional to 26,527.50 and 38,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,527.50 : 38,029.50 = 38,029.50 : x
2. Step 2: Convert to fraction form
   26,527.50/38,029.50 = 38,029.50/x
3. Step 3: Cross multiply
   26,527.50x = 38,029.50 × 38,029.50
4. Step 4: Simplify right side
   26,527.50x = 1,446,242,870.25
5. Step 5: Solve for x
   x = 1,446,242,870.25/26,527.50
6. Step 6: Final answer
   x = 54,518.63