Finding the Third Proportional to 31,775.25 and 69,084.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,775.25 : 69,084.75 = 69,084.75 : x
2. Step 2: Convert to fraction form
   31,775.25/69,084.75 = 69,084.75/x
3. Step 3: Cross multiply
   31,775.25x = 69,084.75 × 69,084.75
4. Step 4: Simplify right side
   31,775.25x = 4,772,702,682.56
5. Step 5: Solve for x
   x = 4,772,702,682.56/31,775.25
6. Step 6: Final answer
   x = 150,201.89