Finding the Third Proportional to 35,901.75 and 78,098.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,901.75 : 78,098.63 = 78,098.63 : x
2. Step 2: Convert to fraction form
   35,901.75/78,098.63 = 78,098.63/x
3. Step 3: Cross multiply
   35,901.75x = 78,098.63 × 78,098.63
4. Step 4: Simplify right side
   35,901.75x = 6,099,395,226.89
5. Step 5: Solve for x
   x = 6,099,395,226.89/35,901.75
6. Step 6: Final answer
   x = 169,891.31