Finding the Third Proportional to 29,636 and 45,948

Step by Step Solution

1. Step 1: Write the proportion equation
   29,636 : 45,948 = 45,948 : x
2. Step 2: Convert to fraction form
   29,636/45,948 = 45,948/x
3. Step 3: Cross multiply
   29,636x = 45,948 × 45,948
4. Step 4: Simplify right side
   29,636x = 2,111,218,704
5. Step 5: Solve for x
   x = 2,111,218,704/29,636
6. Step 6: Final answer
   x = 71,238.32