Finding the Third Proportional to 36,362.25 and 77,126.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,362.25 : 77,126.25 = 77,126.25 : x
2. Step 2: Convert to fraction form
   36,362.25/77,126.25 = 77,126.25/x
3. Step 3: Cross multiply
   36,362.25x = 77,126.25 × 77,126.25
4. Step 4: Simplify right side
   36,362.25x = 5,948,458,439.06
5. Step 5: Solve for x
   x = 5,948,458,439.06/36,362.25
6. Step 6: Final answer
   x = 163,588.84