Finding the Third Proportional to 35,829.21 and 78,475.71

Step by Step Solution

1. Step 1: Write the proportion equation
   35,829.21 : 78,475.71 = 78,475.71 : x
2. Step 2: Convert to fraction form
   35,829.21/78,475.71 = 78,475.71/x
3. Step 3: Cross multiply
   35,829.21x = 78,475.71 × 78,475.71
4. Step 4: Simplify right side
   35,829.21x = 6,158,437,207.15
5. Step 5: Solve for x
   x = 6,158,437,207.15/35,829.21
6. Step 6: Final answer
   x = 171,883.14