Finding the Third Proportional to 35,923.50 and 77,250.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,923.50 : 77,250.38 = 77,250.38 : x
2. Step 2: Convert to fraction form
   35,923.50/77,250.38 = 77,250.38/x
3. Step 3: Cross multiply
   35,923.50x = 77,250.38 × 77,250.38
4. Step 4: Simplify right side
   35,923.50x = 5,967,620,437.64
5. Step 5: Solve for x
   x = 5,967,620,437.64/35,923.50
6. Step 6: Final answer
   x = 166,120.24