Finding the Third Proportional to 52,406 and 81,210

Step by Step Solution

1. Step 1: Write the proportion equation
   52,406 : 81,210 = 81,210 : x
2. Step 2: Convert to fraction form
   52,406/81,210 = 81,210/x
3. Step 3: Cross multiply
   52,406x = 81,210 × 81,210
4. Step 4: Simplify right side
   52,406x = 6,595,064,100
5. Step 5: Solve for x
   x = 6,595,064,100/52,406
6. Step 6: Final answer
   x = 125,845.59