Finding the Third Proportional to 7,658 and 10,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,658 : 10,973.50 = 10,973.50 : x
2. Step 2: Convert to fraction form
   7,658/10,973.50 = 10,973.50/x
3. Step 3: Cross multiply
   7,658x = 10,973.50 × 10,973.50
4. Step 4: Simplify right side
   7,658x = 120,417,702.25
5. Step 5: Solve for x
   x = 120,417,702.25/7,658
6. Step 6: Final answer
   x = 15,724.43