Finding the Third Proportional to 13,263.75 and 31,205.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,263.75 : 31,205.25 = 31,205.25 : x
2. Step 2: Convert to fraction form
   13,263.75/31,205.25 = 31,205.25/x
3. Step 3: Cross multiply
   13,263.75x = 31,205.25 × 31,205.25
4. Step 4: Simplify right side
   13,263.75x = 973,767,627.56
5. Step 5: Solve for x
   x = 973,767,627.56/13,263.75
6. Step 6: Final answer
   x = 73,415.71