Finding the Third Proportional to 36,547 and 49,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,547 : 49,525.50 = 49,525.50 : x
2. Step 2: Convert to fraction form
   36,547/49,525.50 = 49,525.50/x
3. Step 3: Cross multiply
   36,547x = 49,525.50 × 49,525.50
4. Step 4: Simplify right side
   36,547x = 2,452,775,150.25
5. Step 5: Solve for x
   x = 2,452,775,150.25/36,547
6. Step 6: Final answer
   x = 67,112.90