Finding the Third Proportional to 52,838 and 72,453

Step by Step Solution

1. Step 1: Write the proportion equation
   52,838 : 72,453 = 72,453 : x
2. Step 2: Convert to fraction form
   52,838/72,453 = 72,453/x
3. Step 3: Cross multiply
   52,838x = 72,453 × 72,453
4. Step 4: Simplify right side
   52,838x = 5,249,437,209
5. Step 5: Solve for x
   x = 5,249,437,209/52,838
6. Step 6: Final answer
   x = 99,349.66