Finding the Third Proportional to 35,211 and 76,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,211 : 76,393.50 = 76,393.50 : x
2. Step 2: Convert to fraction form
   35,211/76,393.50 = 76,393.50/x
3. Step 3: Cross multiply
   35,211x = 76,393.50 × 76,393.50
4. Step 4: Simplify right side
   35,211x = 5,835,966,842.25
5. Step 5: Solve for x
   x = 5,835,966,842.25/35,211
6. Step 6: Final answer
   x = 165,742.72