Finding the Third Proportional to 35,745 and 53,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,745 : 53,008.50 = 53,008.50 : x
2. Step 2: Convert to fraction form
   35,745/53,008.50 = 53,008.50/x
3. Step 3: Cross multiply
   35,745x = 53,008.50 × 53,008.50
4. Step 4: Simplify right side
   35,745x = 2,809,901,072.25
5. Step 5: Solve for x
   x = 2,809,901,072.25/35,745
6. Step 6: Final answer
   x = 78,609.63