Finding the Third Proportional to 36,996.75 and 78,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,996.75 : 78,610.50 = 78,610.50 : x
2. Step 2: Convert to fraction form
   36,996.75/78,610.50 = 78,610.50/x
3. Step 3: Cross multiply
   36,996.75x = 78,610.50 × 78,610.50
4. Step 4: Simplify right side
   36,996.75x = 6,179,610,710.25
5. Step 5: Solve for x
   x = 6,179,610,710.25/36,996.75
6. Step 6: Final answer
   x = 167,031.18