Finding the Third Proportional to 35,886.38 and 75,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,886.38 : 75,694.50 = 75,694.50 : x
2. Step 2: Convert to fraction form
   35,886.38/75,694.50 = 75,694.50/x
3. Step 3: Cross multiply
   35,886.38x = 75,694.50 × 75,694.50
4. Step 4: Simplify right side
   35,886.38x = 5,729,657,330.25
5. Step 5: Solve for x
   x = 5,729,657,330.25/35,886.38
6. Step 6: Final answer
   x = 159,661.08