Finding the Third Proportional to 35,664 and 55,194.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,664 : 55,194.75 = 55,194.75 : x
2. Step 2: Convert to fraction form
   35,664/55,194.75 = 55,194.75/x
3. Step 3: Cross multiply
   35,664x = 55,194.75 × 55,194.75
4. Step 4: Simplify right side
   35,664x = 3,046,460,427.56
5. Step 5: Solve for x
   x = 3,046,460,427.56/35,664
6. Step 6: Final answer
   x = 85,421.16