Finding the Third Proportional to 34,969.50 and 81,468

Step by Step Solution

1. Step 1: Write the proportion equation
   34,969.50 : 81,468 = 81,468 : x
2. Step 2: Convert to fraction form
   34,969.50/81,468 = 81,468/x
3. Step 3: Cross multiply
   34,969.50x = 81,468 × 81,468
4. Step 4: Simplify right side
   34,969.50x = 6,637,035,024
5. Step 5: Solve for x
   x = 6,637,035,024/34,969.50
6. Step 6: Final answer
   x = 189,794.96