Finding the Third Proportional to 19,832 and 29,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,832 : 29,199.50 = 29,199.50 : x
2. Step 2: Convert to fraction form
   19,832/29,199.50 = 29,199.50/x
3. Step 3: Cross multiply
   19,832x = 29,199.50 × 29,199.50
4. Step 4: Simplify right side
   19,832x = 852,610,800.25
5. Step 5: Solve for x
   x = 852,610,800.25/19,832
6. Step 6: Final answer
   x = 42,991.67