Finding the Third Proportional to 6,501 and 10,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,501 : 10,061.50 = 10,061.50 : x
2. Step 2: Convert to fraction form
   6,501/10,061.50 = 10,061.50/x
3. Step 3: Cross multiply
   6,501x = 10,061.50 × 10,061.50
4. Step 4: Simplify right side
   6,501x = 101,233,782.25
5. Step 5: Solve for x
   x = 101,233,782.25/6,501
6. Step 6: Final answer
   x = 15,572.03