Finding the Third Proportional to 35,769 and 53,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,769 : 53,230.50 = 53,230.50 : x
2. Step 2: Convert to fraction form
   35,769/53,230.50 = 53,230.50/x
3. Step 3: Cross multiply
   35,769x = 53,230.50 × 53,230.50
4. Step 4: Simplify right side
   35,769x = 2,833,486,130.25
5. Step 5: Solve for x
   x = 2,833,486,130.25/35,769
6. Step 6: Final answer
   x = 79,216.25