Finding the Third Proportional to 30,025.50 and 69,501.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,025.50 : 69,501.75 = 69,501.75 : x
2. Step 2: Convert to fraction form
   30,025.50/69,501.75 = 69,501.75/x
3. Step 3: Cross multiply
   30,025.50x = 69,501.75 × 69,501.75
4. Step 4: Simplify right side
   30,025.50x = 4,830,493,253.06
5. Step 5: Solve for x
   x = 4,830,493,253.06/30,025.50
6. Step 6: Final answer
   x = 160,879.69