Finding the Third Proportional to 32,830 and 52,264

Step by Step Solution

1. Step 1: Write the proportion equation
   32,830 : 52,264 = 52,264 : x
2. Step 2: Convert to fraction form
   32,830/52,264 = 52,264/x
3. Step 3: Cross multiply
   32,830x = 52,264 × 52,264
4. Step 4: Simplify right side
   32,830x = 2,731,525,696
5. Step 5: Solve for x
   x = 2,731,525,696/32,830
6. Step 6: Final answer
   x = 83,202.12