Finding the Third Proportional to 35,875 and 52,716

Step by Step Solution

1. Step 1: Write the proportion equation
   35,875 : 52,716 = 52,716 : x
2. Step 2: Convert to fraction form
   35,875/52,716 = 52,716/x
3. Step 3: Cross multiply
   35,875x = 52,716 × 52,716
4. Step 4: Simplify right side
   35,875x = 2,778,976,656
5. Step 5: Solve for x
   x = 2,778,976,656/35,875
6. Step 6: Final answer
   x = 77,462.76