Finding the Third Proportional to 27,159 and 57,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,159 : 57,577.50 = 57,577.50 : x
2. Step 2: Convert to fraction form
   27,159/57,577.50 = 57,577.50/x
3. Step 3: Cross multiply
   27,159x = 57,577.50 × 57,577.50
4. Step 4: Simplify right side
   27,159x = 3,315,168,506.25
5. Step 5: Solve for x
   x = 3,315,168,506.25/27,159
6. Step 6: Final answer
   x = 122,065.19