Finding the Third Proportional to 12,523.50 and 29,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,523.50 : 29,668.50 = 29,668.50 : x
2. Step 2: Convert to fraction form
   12,523.50/29,668.50 = 29,668.50/x
3. Step 3: Cross multiply
   12,523.50x = 29,668.50 × 29,668.50
4. Step 4: Simplify right side
   12,523.50x = 880,219,892.25
5. Step 5: Solve for x
   x = 880,219,892.25/12,523.50
6. Step 6: Final answer
   x = 70,285.45