Finding the Third Proportional to 32,683.50 and 69,294

Step by Step Solution

1. Step 1: Write the proportion equation
   32,683.50 : 69,294 = 69,294 : x
2. Step 2: Convert to fraction form
   32,683.50/69,294 = 69,294/x
3. Step 3: Cross multiply
   32,683.50x = 69,294 × 69,294
4. Step 4: Simplify right side
   32,683.50x = 4,801,658,436
5. Step 5: Solve for x
   x = 4,801,658,436/32,683.50
6. Step 6: Final answer
   x = 146,913.84