Finding the Third Proportional to 12,132 and 19,478.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,132 : 19,478.25 = 19,478.25 : x
2. Step 2: Convert to fraction form
   12,132/19,478.25 = 19,478.25/x
3. Step 3: Cross multiply
   12,132x = 19,478.25 × 19,478.25
4. Step 4: Simplify right side
   12,132x = 379,402,223.06
5. Step 5: Solve for x
   x = 379,402,223.06/12,132
6. Step 6: Final answer
   x = 31,272.85