Finding the Third Proportional to 36,441.50 and 78,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,441.50 : 78,471.50 = 78,471.50 : x
2. Step 2: Convert to fraction form
   36,441.50/78,471.50 = 78,471.50/x
3. Step 3: Cross multiply
   36,441.50x = 78,471.50 × 78,471.50
4. Step 4: Simplify right side
   36,441.50x = 6,157,776,312.25
5. Step 5: Solve for x
   x = 6,157,776,312.25/36,441.50
6. Step 6: Final answer
   x = 168,977.03