Finding the Third Proportional to 19,214 and 29,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,214 : 29,077.50 = 29,077.50 : x
2. Step 2: Convert to fraction form
   19,214/29,077.50 = 29,077.50/x
3. Step 3: Cross multiply
   19,214x = 29,077.50 × 29,077.50
4. Step 4: Simplify right side
   19,214x = 845,501,006.25
5. Step 5: Solve for x
   x = 845,501,006.25/19,214
6. Step 6: Final answer
   x = 44,004.42