Finding the Third Proportional to 32,997.38 and 77,814.56

Step by Step Solution

1. Step 1: Write the proportion equation
   32,997.38 : 77,814.56 = 77,814.56 : x
2. Step 2: Convert to fraction form
   32,997.38/77,814.56 = 77,814.56/x
3. Step 3: Cross multiply
   32,997.38x = 77,814.56 × 77,814.56
4. Step 4: Simplify right side
   32,997.38x = 6,055,106,137.07
5. Step 5: Solve for x
   x = 6,055,106,137.07/32,997.38
6. Step 6: Final answer
   x = 183,502.66