Finding the Third Proportional to 25,536.38 and 42,202.69

Step by Step Solution

1. Step 1: Write the proportion equation
   25,536.38 : 42,202.69 = 42,202.69 : x
2. Step 2: Convert to fraction form
   25,536.38/42,202.69 = 42,202.69/x
3. Step 3: Cross multiply
   25,536.38x = 42,202.69 × 42,202.69
4. Step 4: Simplify right side
   25,536.38x = 1,781,066,832.22
5. Step 5: Solve for x
   x = 1,781,066,832.22/25,536.38
6. Step 6: Final answer
   x = 69,746.27