Finding the Third Proportional to 35,430 and 52,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,430 : 52,690.50 = 52,690.50 : x
2. Step 2: Convert to fraction form
   35,430/52,690.50 = 52,690.50/x
3. Step 3: Cross multiply
   35,430x = 52,690.50 × 52,690.50
4. Step 4: Simplify right side
   35,430x = 2,776,288,790.25
5. Step 5: Solve for x
   x = 2,776,288,790.25/35,430
6. Step 6: Final answer
   x = 78,359.83