Finding the Third Proportional to 51,321 and 76,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,321 : 76,774.50 = 76,774.50 : x
2. Step 2: Convert to fraction form
   51,321/76,774.50 = 76,774.50/x
3. Step 3: Cross multiply
   51,321x = 76,774.50 × 76,774.50
4. Step 4: Simplify right side
   51,321x = 5,894,323,850.25
5. Step 5: Solve for x
   x = 5,894,323,850.25/51,321
6. Step 6: Final answer
   x = 114,852.08