Finding the Third Proportional to 36,627.50 and 55,038.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,627.50 : 55,038.75 = 55,038.75 : x
2. Step 2: Convert to fraction form
   36,627.50/55,038.75 = 55,038.75/x
3. Step 3: Cross multiply
   36,627.50x = 55,038.75 × 55,038.75
4. Step 4: Simplify right side
   36,627.50x = 3,029,264,001.56
5. Step 5: Solve for x
   x = 3,029,264,001.56/36,627.50
6. Step 6: Final answer
   x = 82,704.63