Finding the Third Proportional to 34,665.38 and 53,526.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34,665.38 : 53,526.38 = 53,526.38 : x
2. Step 2: Convert to fraction form
   34,665.38/53,526.38 = 53,526.38/x
3. Step 3: Cross multiply
   34,665.38x = 53,526.38 × 53,526.38
4. Step 4: Simplify right side
   34,665.38x = 2,865,072,820.64
5. Step 5: Solve for x
   x = 2,865,072,820.64/34,665.38
6. Step 6: Final answer
   x = 82,649.41