Finding the Third Proportional to 35,653.50 and 74,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,653.50 : 74,740.50 = 74,740.50 : x
2. Step 2: Convert to fraction form
   35,653.50/74,740.50 = 74,740.50/x
3. Step 3: Cross multiply
   35,653.50x = 74,740.50 × 74,740.50
4. Step 4: Simplify right side
   35,653.50x = 5,586,142,340.25
5. Step 5: Solve for x
   x = 5,586,142,340.25/35,653.50
6. Step 6: Final answer
   x = 156,678.65