Finding the Third Proportional to 13,557 and 31,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,557 : 31,672.50 = 31,672.50 : x
2. Step 2: Convert to fraction form
   13,557/31,672.50 = 31,672.50/x
3. Step 3: Cross multiply
   13,557x = 31,672.50 × 31,672.50
4. Step 4: Simplify right side
   13,557x = 1,003,147,256.25
5. Step 5: Solve for x
   x = 1,003,147,256.25/13,557
6. Step 6: Final answer
   x = 73,994.78