Finding the Third Proportional to 35,610 and 76,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,610 : 76,861.50 = 76,861.50 : x
2. Step 2: Convert to fraction form
   35,610/76,861.50 = 76,861.50/x
3. Step 3: Cross multiply
   35,610x = 76,861.50 × 76,861.50
4. Step 4: Simplify right side
   35,610x = 5,907,690,182.25
5. Step 5: Solve for x
   x = 5,907,690,182.25/35,610
6. Step 6: Final answer
   x = 165,899.75