Finding the Third Proportional to 12,924 and 19,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,924 : 19,385.50 = 19,385.50 : x
2. Step 2: Convert to fraction form
   12,924/19,385.50 = 19,385.50/x
3. Step 3: Cross multiply
   12,924x = 19,385.50 × 19,385.50
4. Step 4: Simplify right side
   12,924x = 375,797,610.25
5. Step 5: Solve for x
   x = 375,797,610.25/12,924
6. Step 6: Final answer
   x = 29,077.50