Finding the Third Proportional to 23,077.41 and 32,998.64

Step by Step Solution

1. Step 1: Write the proportion equation
   23,077.41 : 32,998.64 = 32,998.64 : x
2. Step 2: Convert to fraction form
   23,077.41/32,998.64 = 32,998.64/x
3. Step 3: Cross multiply
   23,077.41x = 32,998.64 × 32,998.64
4. Step 4: Simplify right side
   23,077.41x = 1,088,910,283.10
5. Step 5: Solve for x
   x = 1,088,910,283.10/23,077.41
6. Step 6: Final answer
   x = 47,185.12