Finding the Third Proportional to 12,377.50 and 19,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,377.50 : 19,187.50 = 19,187.50 : x
2. Step 2: Convert to fraction form
   12,377.50/19,187.50 = 19,187.50/x
3. Step 3: Cross multiply
   12,377.50x = 19,187.50 × 19,187.50
4. Step 4: Simplify right side
   12,377.50x = 368,160,156.25
5. Step 5: Solve for x
   x = 368,160,156.25/12,377.50
6. Step 6: Final answer
   x = 29,744.31