Finding the Third Proportional to 14,697 and 34,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,697 : 34,663.50 = 34,663.50 : x
2. Step 2: Convert to fraction form
   14,697/34,663.50 = 34,663.50/x
3. Step 3: Cross multiply
   14,697x = 34,663.50 × 34,663.50
4. Step 4: Simplify right side
   14,697x = 1,201,558,232.25
5. Step 5: Solve for x
   x = 1,201,558,232.25/14,697
6. Step 6: Final answer
   x = 81,755.34