Finding the Third Proportional to 12,506 and 19,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,506 : 19,358.50 = 19,358.50 : x
2. Step 2: Convert to fraction form
   12,506/19,358.50 = 19,358.50/x
3. Step 3: Cross multiply
   12,506x = 19,358.50 × 19,358.50
4. Step 4: Simplify right side
   12,506x = 374,751,522.25
5. Step 5: Solve for x
   x = 374,751,522.25/12,506
6. Step 6: Final answer
   x = 29,965.74