Finding the Third Proportional to 37,829 and 54,961

Step by Step Solution

1. Step 1: Write the proportion equation
   37,829 : 54,961 = 54,961 : x
2. Step 2: Convert to fraction form
   37,829/54,961 = 54,961/x
3. Step 3: Cross multiply
   37,829x = 54,961 × 54,961
4. Step 4: Simplify right side
   37,829x = 3,020,711,521
5. Step 5: Solve for x
   x = 3,020,711,521/37,829
6. Step 6: Final answer
   x = 79,851.74