Finding the Third Proportional to 35,663 and 55,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,663 : 55,190.50 = 55,190.50 : x
2. Step 2: Convert to fraction form
   35,663/55,190.50 = 55,190.50/x
3. Step 3: Cross multiply
   35,663x = 55,190.50 × 55,190.50
4. Step 4: Simplify right side
   35,663x = 3,045,991,290.25
5. Step 5: Solve for x
   x = 3,045,991,290.25/35,663
6. Step 6: Final answer
   x = 85,410.41