Finding the Third Proportional to 35,402 and 55,254

Step by Step Solution

1. Step 1: Write the proportion equation
   35,402 : 55,254 = 55,254 : x
2. Step 2: Convert to fraction form
   35,402/55,254 = 55,254/x
3. Step 3: Cross multiply
   35,402x = 55,254 × 55,254
4. Step 4: Simplify right side
   35,402x = 3,053,004,516
5. Step 5: Solve for x
   x = 3,053,004,516/35,402
6. Step 6: Final answer
   x = 86,238.19