Finding the Third Proportional to 12,902.63 and 19,586.81

Step by Step Solution

1. Step 1: Write the proportion equation
   12,902.63 : 19,586.81 = 19,586.81 : x
2. Step 2: Convert to fraction form
   12,902.63/19,586.81 = 19,586.81/x
3. Step 3: Cross multiply
   12,902.63x = 19,586.81 × 19,586.81
4. Step 4: Simplify right side
   12,902.63x = 383,643,223.91
5. Step 5: Solve for x
   x = 383,643,223.91/12,902.63
6. Step 6: Final answer
   x = 29,733.73