Finding the Third Proportional to 7,977 and 12,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,977 : 12,088.50 = 12,088.50 : x
2. Step 2: Convert to fraction form
   7,977/12,088.50 = 12,088.50/x
3. Step 3: Cross multiply
   7,977x = 12,088.50 × 12,088.50
4. Step 4: Simplify right side
   7,977x = 146,131,832.25
5. Step 5: Solve for x
   x = 146,131,832.25/7,977
6. Step 6: Final answer
   x = 18,319.15