Finding the Third Proportional to 13,407.75 and 31,172.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,407.75 : 31,172.63 = 31,172.63 : x
2. Step 2: Convert to fraction form
   13,407.75/31,172.63 = 31,172.63/x
3. Step 3: Cross multiply
   13,407.75x = 31,172.63 × 31,172.63
4. Step 4: Simplify right side
   13,407.75x = 971,732,549.39
5. Step 5: Solve for x
   x = 971,732,549.39/13,407.75
6. Step 6: Final answer
   x = 72,475.44