Finding the Third Proportional to 35,901.75 and 75,477.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,901.75 : 75,477.38 = 75,477.38 : x
2. Step 2: Convert to fraction form
   35,901.75/75,477.38 = 75,477.38/x
3. Step 3: Cross multiply
   35,901.75x = 75,477.38 × 75,477.38
4. Step 4: Simplify right side
   35,901.75x = 5,696,834,136.89
5. Step 5: Solve for x
   x = 5,696,834,136.89/35,901.75
6. Step 6: Final answer
   x = 158,678.45