Finding the Third Proportional to 57,774 and 77,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,774 : 77,971.50 = 77,971.50 : x
2. Step 2: Convert to fraction form
   57,774/77,971.50 = 77,971.50/x
3. Step 3: Cross multiply
   57,774x = 77,971.50 × 77,971.50
4. Step 4: Simplify right side
   57,774x = 6,079,554,812.25
5. Step 5: Solve for x
   x = 6,079,554,812.25/57,774
6. Step 6: Final answer
   x = 105,229.94