Finding the Third Proportional to 47,691 and 65,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,691 : 65,704.50 = 65,704.50 : x
2. Step 2: Convert to fraction form
   47,691/65,704.50 = 65,704.50/x
3. Step 3: Cross multiply
   47,691x = 65,704.50 × 65,704.50
4. Step 4: Simplify right side
   47,691x = 4,317,081,320.25
5. Step 5: Solve for x
   x = 4,317,081,320.25/47,691
6. Step 6: Final answer
   x = 90,521.93