Finding the Third Proportional to 76,426.50 and 101,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,426.50 : 101,929.50 = 101,929.50 : x
2. Step 2: Convert to fraction form
   76,426.50/101,929.50 = 101,929.50/x
3. Step 3: Cross multiply
   76,426.50x = 101,929.50 × 101,929.50
4. Step 4: Simplify right side
   76,426.50x = 10,389,622,970.25
5. Step 5: Solve for x
   x = 10,389,622,970.25/76,426.50
6. Step 6: Final answer
   x = 135,942.68