Finding the Third Proportional to 12,312 and 19,100.81

Step by Step Solution

1. Step 1: Write the proportion equation
   12,312 : 19,100.81 = 19,100.81 : x
2. Step 2: Convert to fraction form
   12,312/19,100.81 = 19,100.81/x
3. Step 3: Cross multiply
   12,312x = 19,100.81 × 19,100.81
4. Step 4: Simplify right side
   12,312x = 364,841,038.16
5. Step 5: Solve for x
   x = 364,841,038.16/12,312
6. Step 6: Final answer
   x = 29,632.96