Finding the Third Proportional to 35,835 and 76,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,835 : 76,951.50 = 76,951.50 : x
2. Step 2: Convert to fraction form
   35,835/76,951.50 = 76,951.50/x
3. Step 3: Cross multiply
   35,835x = 76,951.50 × 76,951.50
4. Step 4: Simplify right side
   35,835x = 5,921,533,352.25
5. Step 5: Solve for x
   x = 5,921,533,352.25/35,835
6. Step 6: Final answer
   x = 165,244.41