Finding the Third Proportional to 41,638.50 and 91,184.06

Step by Step Solution

1. Step 1: Write the proportion equation
   41,638.50 : 91,184.06 = 91,184.06 : x
2. Step 2: Convert to fraction form
   41,638.50/91,184.06 = 91,184.06/x
3. Step 3: Cross multiply
   41,638.50x = 91,184.06 × 91,184.06
4. Step 4: Simplify right side
   41,638.50x = 8,314,533,254.00
5. Step 5: Solve for x
   x = 8,314,533,254.00/41,638.50
6. Step 6: Final answer
   x = 199,683.78