Finding the Third Proportional to 35,885.32 and 77,254.59

Step by Step Solution

1. Step 1: Write the proportion equation
   35,885.32 : 77,254.59 = 77,254.59 : x
2. Step 2: Convert to fraction form
   35,885.32/77,254.59 = 77,254.59/x
3. Step 3: Cross multiply
   35,885.32x = 77,254.59 × 77,254.59
4. Step 4: Simplify right side
   35,885.32x = 5,968,272,255.48
5. Step 5: Solve for x
   x = 5,968,272,255.48/35,885.32
6. Step 6: Final answer
   x = 166,315.15