Finding the Third Proportional to 45,760 and 83,926

Step by Step Solution

1. Step 1: Write the proportion equation
   45,760 : 83,926 = 83,926 : x
2. Step 2: Convert to fraction form
   45,760/83,926 = 83,926/x
3. Step 3: Cross multiply
   45,760x = 83,926 × 83,926
4. Step 4: Simplify right side
   45,760x = 7,043,573,476
5. Step 5: Solve for x
   x = 7,043,573,476/45,760
6. Step 6: Final answer
   x = 153,924.25