Finding the Third Proportional to 38,246.50 and 53,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,246.50 : 53,764.50 = 53,764.50 : x
2. Step 2: Convert to fraction form
   38,246.50/53,764.50 = 53,764.50/x
3. Step 3: Cross multiply
   38,246.50x = 53,764.50 × 53,764.50
4. Step 4: Simplify right side
   38,246.50x = 2,890,621,460.25
5. Step 5: Solve for x
   x = 2,890,621,460.25/38,246.50
6. Step 6: Final answer
   x = 75,578.72