Finding the Third Proportional to 11,677 and 27,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677 : 27,314.50 = 27,314.50 : x
2. Step 2: Convert to fraction form
   11,677/27,314.50 = 27,314.50/x
3. Step 3: Cross multiply
   11,677x = 27,314.50 × 27,314.50
4. Step 4: Simplify right side
   11,677x = 746,081,910.25
5. Step 5: Solve for x
   x = 746,081,910.25/11,677
6. Step 6: Final answer
   x = 63,893.29