Finding the Third Proportional to 56,834 and 82,752.25

Step by Step Solution

1. Step 1: Write the proportion equation
   56,834 : 82,752.25 = 82,752.25 : x
2. Step 2: Convert to fraction form
   56,834/82,752.25 = 82,752.25/x
3. Step 3: Cross multiply
   56,834x = 82,752.25 × 82,752.25
4. Step 4: Simplify right side
   56,834x = 6,847,934,880.06
5. Step 5: Solve for x
   x = 6,847,934,880.06/56,834
6. Step 6: Final answer
   x = 120,490.11