Finding the Third Proportional to 35,140 and 76,590

Step by Step Solution

1. Step 1: Write the proportion equation
   35,140 : 76,590 = 76,590 : x
2. Step 2: Convert to fraction form
   35,140/76,590 = 76,590/x
3. Step 3: Cross multiply
   35,140x = 76,590 × 76,590
4. Step 4: Simplify right side
   35,140x = 5,866,028,100
5. Step 5: Solve for x
   x = 5,866,028,100/35,140
6. Step 6: Final answer
   x = 166,933.07