Finding the Third Proportional to 12,370 and 19,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,370 : 19,666.50 = 19,666.50 : x
2. Step 2: Convert to fraction form
   12,370/19,666.50 = 19,666.50/x
3. Step 3: Cross multiply
   12,370x = 19,666.50 × 19,666.50
4. Step 4: Simplify right side
   12,370x = 386,771,222.25
5. Step 5: Solve for x
   x = 386,771,222.25/12,370
6. Step 6: Final answer
   x = 31,266.87