Finding the Third Proportional to 51,840 and 76,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,840 : 76,666.50 = 76,666.50 : x
2. Step 2: Convert to fraction form
   51,840/76,666.50 = 76,666.50/x
3. Step 3: Cross multiply
   51,840x = 76,666.50 × 76,666.50
4. Step 4: Simplify right side
   51,840x = 5,877,752,222.25
5. Step 5: Solve for x
   x = 5,877,752,222.25/51,840
6. Step 6: Final answer
   x = 113,382.57