Finding the Third Proportional to 35,462.81 and 75,254.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,462.81 : 75,254.06 = 75,254.06 : x
2. Step 2: Convert to fraction form
   35,462.81/75,254.06 = 75,254.06/x
3. Step 3: Cross multiply
   35,462.81x = 75,254.06 × 75,254.06
4. Step 4: Simplify right side
   35,462.81x = 5,663,173,922.75
5. Step 5: Solve for x
   x = 5,663,173,922.75/35,462.81
6. Step 6: Final answer
   x = 159,693.31