Finding the Third Proportional to 5,561.63 and 7,507.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,561.63 : 7,507.13 = 7,507.13 : x
2. Step 2: Convert to fraction form
   5,561.63/7,507.13 = 7,507.13/x
3. Step 3: Cross multiply
   5,561.63x = 7,507.13 × 7,507.13
4. Step 4: Simplify right side
   5,561.63x = 56,356,925.77
5. Step 5: Solve for x
   x = 56,356,925.77/5,561.63
6. Step 6: Final answer
   x = 10,133.18