Finding the Third Proportional to 59,742 and 81,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,742 : 81,184.50 = 81,184.50 : x
2. Step 2: Convert to fraction form
   59,742/81,184.50 = 81,184.50/x
3. Step 3: Cross multiply
   59,742x = 81,184.50 × 81,184.50
4. Step 4: Simplify right side
   59,742x = 6,590,923,040.25
5. Step 5: Solve for x
   x = 6,590,923,040.25/59,742
6. Step 6: Final answer
   x = 110,323.11