Finding the Third Proportional to 11,677.50 and 23,900.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.50 : 23,900.63 = 23,900.63 : x
2. Step 2: Convert to fraction form
   11,677.50/23,900.63 = 23,900.63/x
3. Step 3: Cross multiply
   11,677.50x = 23,900.63 × 23,900.63
4. Step 4: Simplify right side
   11,677.50x = 571,239,875.39
5. Step 5: Solve for x
   x = 571,239,875.39/11,677.50
6. Step 6: Final answer
   x = 48,917.99