Finding the Third Proportional to 35,989.31 and 78,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,989.31 : 78,529.50 = 78,529.50 : x
2. Step 2: Convert to fraction form
   35,989.31/78,529.50 = 78,529.50/x
3. Step 3: Cross multiply
   35,989.31x = 78,529.50 × 78,529.50
4. Step 4: Simplify right side
   35,989.31x = 6,166,882,370.25
5. Step 5: Solve for x
   x = 6,166,882,370.25/35,989.31
6. Step 6: Final answer
   x = 171,353.16