Finding the Third Proportional to 35,665.31 and 55,193.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,665.31 : 55,193.06 = 55,193.06 : x
2. Step 2: Convert to fraction form
   35,665.31/55,193.06 = 55,193.06/x
3. Step 3: Cross multiply
   35,665.31x = 55,193.06 × 55,193.06
4. Step 4: Simplify right side
   35,665.31x = 3,046,274,148.13
5. Step 5: Solve for x
   x = 3,046,274,148.13/35,665.31
6. Step 6: Final answer
   x = 85,412.80