Finding the Third Proportional to 35,827.31 and 77,790.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,827.31 : 77,790.38 = 77,790.38 : x
2. Step 2: Convert to fraction form
   35,827.31/77,790.38 = 77,790.38/x
3. Step 3: Cross multiply
   35,827.31x = 77,790.38 × 77,790.38
4. Step 4: Simplify right side
   35,827.31x = 6,051,342,442.64
5. Step 5: Solve for x
   x = 6,051,342,442.64/35,827.31
6. Step 6: Final answer
   x = 168,903.05