Finding the Third Proportional to 36,501 and 52,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,501 : 52,747.50 = 52,747.50 : x
2. Step 2: Convert to fraction form
   36,501/52,747.50 = 52,747.50/x
3. Step 3: Cross multiply
   36,501x = 52,747.50 × 52,747.50
4. Step 4: Simplify right side
   36,501x = 2,782,298,756.25
5. Step 5: Solve for x
   x = 2,782,298,756.25/36,501
6. Step 6: Final answer
   x = 76,225.27