Finding the Third Proportional to 51,656 and 75,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,656 : 75,714.50 = 75,714.50 : x
2. Step 2: Convert to fraction form
   51,656/75,714.50 = 75,714.50/x
3. Step 3: Cross multiply
   51,656x = 75,714.50 × 75,714.50
4. Step 4: Simplify right side
   51,656x = 5,732,685,510.25
5. Step 5: Solve for x
   x = 5,732,685,510.25/51,656
6. Step 6: Final answer
   x = 110,978.12