Finding the Third Proportional to 72,759.50 and 102,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,759.50 : 102,699.50 = 102,699.50 : x
2. Step 2: Convert to fraction form
   72,759.50/102,699.50 = 102,699.50/x
3. Step 3: Cross multiply
   72,759.50x = 102,699.50 × 102,699.50
4. Step 4: Simplify right side
   72,759.50x = 10,547,187,300.25
5. Step 5: Solve for x
   x = 10,547,187,300.25/72,759.50
6. Step 6: Final answer
   x = 144,959.59