Finding the Third Proportional to 51,314.34 and 76,766.06

Step by Step Solution

1. Step 1: Write the proportion equation
   51,314.34 : 76,766.06 = 76,766.06 : x
2. Step 2: Convert to fraction form
   51,314.34/76,766.06 = 76,766.06/x
3. Step 3: Cross multiply
   51,314.34x = 76,766.06 × 76,766.06
4. Step 4: Simplify right side
   51,314.34x = 5,893,028,351.75
5. Step 5: Solve for x
   x = 5,893,028,351.75/51,314.34
6. Step 6: Final answer
   x = 114,841.74