Finding the Third Proportional to 52,782 and 77,445

Step by Step Solution

1. Step 1: Write the proportion equation
   52,782 : 77,445 = 77,445 : x
2. Step 2: Convert to fraction form
   52,782/77,445 = 77,445/x
3. Step 3: Cross multiply
   52,782x = 77,445 × 77,445
4. Step 4: Simplify right side
   52,782x = 5,997,728,025
5. Step 5: Solve for x
   x = 5,997,728,025/52,782
6. Step 6: Final answer
   x = 113,632.07