Finding the Third Proportional to 12,523 and 19,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,523 : 19,501.50 = 19,501.50 : x
2. Step 2: Convert to fraction form
   12,523/19,501.50 = 19,501.50/x
3. Step 3: Cross multiply
   12,523x = 19,501.50 × 19,501.50
4. Step 4: Simplify right side
   12,523x = 380,308,502.25
5. Step 5: Solve for x
   x = 380,308,502.25/12,523
6. Step 6: Final answer
   x = 30,368.80