Finding the Third Proportional to 57,867 and 77,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,867 : 77,164.50 = 77,164.50 : x
2. Step 2: Convert to fraction form
   57,867/77,164.50 = 77,164.50/x
3. Step 3: Cross multiply
   57,867x = 77,164.50 × 77,164.50
4. Step 4: Simplify right side
   57,867x = 5,954,360,060.25
5. Step 5: Solve for x
   x = 5,954,360,060.25/57,867
6. Step 6: Final answer
   x = 102,897.33