Finding the Third Proportional to 35,810.30 and 75,889.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,810.30 : 75,889.38 = 75,889.38 : x
2. Step 2: Convert to fraction form
   35,810.30/75,889.38 = 75,889.38/x
3. Step 3: Cross multiply
   35,810.30x = 75,889.38 × 75,889.38
4. Step 4: Simplify right side
   35,810.30x = 5,759,198,423.66
5. Step 5: Solve for x
   x = 5,759,198,423.66/35,810.30
6. Step 6: Final answer
   x = 160,825.21