Finding the Third Proportional to 52,816 and 77,361

Step by Step Solution

1. Step 1: Write the proportion equation
   52,816 : 77,361 = 77,361 : x
2. Step 2: Convert to fraction form
   52,816/77,361 = 77,361/x
3. Step 3: Cross multiply
   52,816x = 77,361 × 77,361
4. Step 4: Simplify right side
   52,816x = 5,984,724,321
5. Step 5: Solve for x
   x = 5,984,724,321/52,816
6. Step 6: Final answer
   x = 113,312.71