Finding the Third Proportional to 35,948.25 and 77,100.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,948.25 : 77,100.75 = 77,100.75 : x
2. Step 2: Convert to fraction form
   35,948.25/77,100.75 = 77,100.75/x
3. Step 3: Cross multiply
   35,948.25x = 77,100.75 × 77,100.75
4. Step 4: Simplify right side
   35,948.25x = 5,944,525,650.56
5. Step 5: Solve for x
   x = 5,944,525,650.56/35,948.25
6. Step 6: Final answer
   x = 165,363.42