Finding the Third Proportional to 37,278 and 55,926

Step by Step Solution

1. Step 1: Write the proportion equation
   37,278 : 55,926 = 55,926 : x
2. Step 2: Convert to fraction form
   37,278/55,926 = 55,926/x
3. Step 3: Cross multiply
   37,278x = 55,926 × 55,926
4. Step 4: Simplify right side
   37,278x = 3,127,717,476
5. Step 5: Solve for x
   x = 3,127,717,476/37,278
6. Step 6: Final answer
   x = 83,902.50