Finding the Third Proportional to 27,855 and 58,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,855 : 58,006.50 = 58,006.50 : x
2. Step 2: Convert to fraction form
   27,855/58,006.50 = 58,006.50/x
3. Step 3: Cross multiply
   27,855x = 58,006.50 × 58,006.50
4. Step 4: Simplify right side
   27,855x = 3,364,754,042.25
5. Step 5: Solve for x
   x = 3,364,754,042.25/27,855
6. Step 6: Final answer
   x = 120,795.33