Finding the Third Proportional to 36,547.50 and 53,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,547.50 : 53,524.50 = 53,524.50 : x
2. Step 2: Convert to fraction form
   36,547.50/53,524.50 = 53,524.50/x
3. Step 3: Cross multiply
   36,547.50x = 53,524.50 × 53,524.50
4. Step 4: Simplify right side
   36,547.50x = 2,864,872,100.25
5. Step 5: Solve for x
   x = 2,864,872,100.25/36,547.50
6. Step 6: Final answer
   x = 78,387.64