Finding the Third Proportional to 12,147 and 19,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,147 : 19,312.50 = 19,312.50 : x
2. Step 2: Convert to fraction form
   12,147/19,312.50 = 19,312.50/x
3. Step 3: Cross multiply
   12,147x = 19,312.50 × 19,312.50
4. Step 4: Simplify right side
   12,147x = 372,972,656.25
5. Step 5: Solve for x
   x = 372,972,656.25/12,147
6. Step 6: Final answer
   x = 30,704.92