Finding the Third Proportional to 37,075.50 and 77,223

Step by Step Solution

1. Step 1: Write the proportion equation
   37,075.50 : 77,223 = 77,223 : x
2. Step 2: Convert to fraction form
   37,075.50/77,223 = 77,223/x
3. Step 3: Cross multiply
   37,075.50x = 77,223 × 77,223
4. Step 4: Simplify right side
   37,075.50x = 5,963,391,729
5. Step 5: Solve for x
   x = 5,963,391,729/37,075.50
6. Step 6: Final answer
   x = 160,844.54