Finding the Third Proportional to 38,735.50 and 54,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,735.50 : 54,547.50 = 54,547.50 : x
2. Step 2: Convert to fraction form
   38,735.50/54,547.50 = 54,547.50/x
3. Step 3: Cross multiply
   38,735.50x = 54,547.50 × 54,547.50
4. Step 4: Simplify right side
   38,735.50x = 2,975,429,756.25
5. Step 5: Solve for x
   x = 2,975,429,756.25/38,735.50
6. Step 6: Final answer
   x = 76,814.03