Finding the Third Proportional to 27,696 and 59,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,696 : 59,329.50 = 59,329.50 : x
2. Step 2: Convert to fraction form
   27,696/59,329.50 = 59,329.50/x
3. Step 3: Cross multiply
   27,696x = 59,329.50 × 59,329.50
4. Step 4: Simplify right side
   27,696x = 3,519,989,570.25
5. Step 5: Solve for x
   x = 3,519,989,570.25/27,696
6. Step 6: Final answer
   x = 127,093.79