Finding the Third Proportional to 10,877.63 and 23,177.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,877.63 : 23,177.81 = 23,177.81 : x
2. Step 2: Convert to fraction form
   10,877.63/23,177.81 = 23,177.81/x
3. Step 3: Cross multiply
   10,877.63x = 23,177.81 × 23,177.81
4. Step 4: Simplify right side
   10,877.63x = 537,210,992.29
5. Step 5: Solve for x
   x = 537,210,992.29/10,877.63
6. Step 6: Final answer
   x = 49,386.79