Finding the Third Proportional to 51,376 and 76,717.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,376 : 76,717.50 = 76,717.50 : x
2. Step 2: Convert to fraction form
   51,376/76,717.50 = 76,717.50/x
3. Step 3: Cross multiply
   51,376x = 76,717.50 × 76,717.50
4. Step 4: Simplify right side
   51,376x = 5,885,574,806.25
5. Step 5: Solve for x
   x = 5,885,574,806.25/51,376
6. Step 6: Final answer
   x = 114,558.84