Finding the Third Proportional to 13,140 and 19,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,140 : 19,658.50 = 19,658.50 : x
2. Step 2: Convert to fraction form
   13,140/19,658.50 = 19,658.50/x
3. Step 3: Cross multiply
   13,140x = 19,658.50 × 19,658.50
4. Step 4: Simplify right side
   13,140x = 386,456,622.25
5. Step 5: Solve for x
   x = 386,456,622.25/13,140
6. Step 6: Final answer
   x = 29,410.70