Finding the Third Proportional to 35,177.25 and 75,275.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,177.25 : 75,275.06 = 75,275.06 : x
2. Step 2: Convert to fraction form
   35,177.25/75,275.06 = 75,275.06/x
3. Step 3: Cross multiply
   35,177.25x = 75,275.06 × 75,275.06
4. Step 4: Simplify right side
   35,177.25x = 5,666,335,034.38
5. Step 5: Solve for x
   x = 5,666,335,034.38/35,177.25
6. Step 6: Final answer
   x = 161,079.53