Finding the Third Proportional to 9,978.19 and 15,377.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.19 : 15,377.34 = 15,377.34 : x
2. Step 2: Convert to fraction form
   9,978.19/15,377.34 = 15,377.34/x
3. Step 3: Cross multiply
   9,978.19x = 15,377.34 × 15,377.34
4. Step 4: Simplify right side
   9,978.19x = 236,462,700.81
5. Step 5: Solve for x
   x = 236,462,700.81/9,978.19
6. Step 6: Final answer
   x = 23,697.96