Finding the Third Proportional to 37,059.75 and 76,590

Step by Step Solution

1. Step 1: Write the proportion equation
   37,059.75 : 76,590 = 76,590 : x
2. Step 2: Convert to fraction form
   37,059.75/76,590 = 76,590/x
3. Step 3: Cross multiply
   37,059.75x = 76,590 × 76,590
4. Step 4: Simplify right side
   37,059.75x = 5,866,028,100
5. Step 5: Solve for x
   x = 5,866,028,100/37,059.75
6. Step 6: Final answer
   x = 158,285.69