Finding the Third Proportional to 35,053 and 76,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,053 : 76,449.50 = 76,449.50 : x
2. Step 2: Convert to fraction form
   35,053/76,449.50 = 76,449.50/x
3. Step 3: Cross multiply
   35,053x = 76,449.50 × 76,449.50
4. Step 4: Simplify right side
   35,053x = 5,844,526,050.25
5. Step 5: Solve for x
   x = 5,844,526,050.25/35,053
6. Step 6: Final answer
   x = 166,733.98