Finding the Third Proportional to 31,298.25 and 47,225.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,298.25 : 47,225.25 = 47,225.25 : x
2. Step 2: Convert to fraction form
   31,298.25/47,225.25 = 47,225.25/x
3. Step 3: Cross multiply
   31,298.25x = 47,225.25 × 47,225.25
4. Step 4: Simplify right side
   31,298.25x = 2,230,224,237.56
5. Step 5: Solve for x
   x = 2,230,224,237.56/31,298.25
6. Step 6: Final answer
   x = 71,257.15