Finding the Third Proportional to 35,876 and 55,664

Step by Step Solution

1. Step 1: Write the proportion equation
   35,876 : 55,664 = 55,664 : x
2. Step 2: Convert to fraction form
   35,876/55,664 = 55,664/x
3. Step 3: Cross multiply
   35,876x = 55,664 × 55,664
4. Step 4: Simplify right side
   35,876x = 3,098,480,896
5. Step 5: Solve for x
   x = 3,098,480,896/35,876
6. Step 6: Final answer
   x = 86,366.40