Finding the Third Proportional to 30,762.75 and 72,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,762.75 : 72,775.50 = 72,775.50 : x
2. Step 2: Convert to fraction form
   30,762.75/72,775.50 = 72,775.50/x
3. Step 3: Cross multiply
   30,762.75x = 72,775.50 × 72,775.50
4. Step 4: Simplify right side
   30,762.75x = 5,296,273,400.25
5. Step 5: Solve for x
   x = 5,296,273,400.25/30,762.75
6. Step 6: Final answer
   x = 172,165.15