Finding the Third Proportional to 51,417 and 76,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,417 : 76,477.50 = 76,477.50 : x
2. Step 2: Convert to fraction form
   51,417/76,477.50 = 76,477.50/x
3. Step 3: Cross multiply
   51,417x = 76,477.50 × 76,477.50
4. Step 4: Simplify right side
   51,417x = 5,848,808,006.25
5. Step 5: Solve for x
   x = 5,848,808,006.25/51,417
6. Step 6: Final answer
   x = 113,752.42