Finding the Third Proportional to 35,548.88 and 76,325.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,548.88 : 76,325.63 = 76,325.63 : x
2. Step 2: Convert to fraction form
   35,548.88/76,325.63 = 76,325.63/x
3. Step 3: Cross multiply
   35,548.88x = 76,325.63 × 76,325.63
4. Step 4: Simplify right side
   35,548.88x = 5,825,601,031.64
5. Step 5: Solve for x
   x = 5,825,601,031.64/35,548.88
6. Step 6: Final answer
   x = 163,875.82