Finding the Third Proportional to 19,188 and 29,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,188 : 29,749.50 = 29,749.50 : x
2. Step 2: Convert to fraction form
   19,188/29,749.50 = 29,749.50/x
3. Step 3: Cross multiply
   19,188x = 29,749.50 × 29,749.50
4. Step 4: Simplify right side
   19,188x = 885,032,750.25
5. Step 5: Solve for x
   x = 885,032,750.25/19,188
6. Step 6: Final answer
   x = 46,124.28