Finding the Third Proportional to 38,250.50 and 53,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,250.50 : 53,769.50 = 53,769.50 : x
2. Step 2: Convert to fraction form
   38,250.50/53,769.50 = 53,769.50/x
3. Step 3: Cross multiply
   38,250.50x = 53,769.50 × 53,769.50
4. Step 4: Simplify right side
   38,250.50x = 2,891,159,130.25
5. Step 5: Solve for x
   x = 2,891,159,130.25/38,250.50
6. Step 6: Final answer
   x = 75,584.87