Finding the Third Proportional to 13,005 and 31,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,005 : 31,453.50 = 31,453.50 : x
2. Step 2: Convert to fraction form
   13,005/31,453.50 = 31,453.50/x
3. Step 3: Cross multiply
   13,005x = 31,453.50 × 31,453.50
4. Step 4: Simplify right side
   13,005x = 989,322,662.25
5. Step 5: Solve for x
   x = 989,322,662.25/13,005
6. Step 6: Final answer
   x = 76,072.48