Finding the Third Proportional to 32,767.50 and 69,453

Step by Step Solution

1. Step 1: Write the proportion equation
   32,767.50 : 69,453 = 69,453 : x
2. Step 2: Convert to fraction form
   32,767.50/69,453 = 69,453/x
3. Step 3: Cross multiply
   32,767.50x = 69,453 × 69,453
4. Step 4: Simplify right side
   32,767.50x = 4,823,719,209
5. Step 5: Solve for x
   x = 4,823,719,209/32,767.50
6. Step 6: Final answer
   x = 147,210.47