Finding the Third Proportional to 35,753.06 and 78,507.56

Step by Step Solution

1. Step 1: Write the proportion equation
   35,753.06 : 78,507.56 = 78,507.56 : x
2. Step 2: Convert to fraction form
   35,753.06/78,507.56 = 78,507.56/x
3. Step 3: Cross multiply
   35,753.06x = 78,507.56 × 78,507.56
4. Step 4: Simplify right side
   35,753.06x = 6,163,437,369.69
5. Step 5: Solve for x
   x = 6,163,437,369.69/35,753.06
6. Step 6: Final answer
   x = 172,389.07