Finding the Third Proportional to 12,942 and 19,406.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,942 : 19,406.25 = 19,406.25 : x
2. Step 2: Convert to fraction form
   12,942/19,406.25 = 19,406.25/x
3. Step 3: Cross multiply
   12,942x = 19,406.25 × 19,406.25
4. Step 4: Simplify right side
   12,942x = 376,602,539.06
5. Step 5: Solve for x
   x = 376,602,539.06/12,942
6. Step 6: Final answer
   x = 29,099.25