Finding the Third Proportional to 56,499 and 76,646

Step by Step Solution

1. Step 1: Write the proportion equation
   56,499 : 76,646 = 76,646 : x
2. Step 2: Convert to fraction form
   56,499/76,646 = 76,646/x
3. Step 3: Cross multiply
   56,499x = 76,646 × 76,646
4. Step 4: Simplify right side
   56,499x = 5,874,609,316
5. Step 5: Solve for x
   x = 5,874,609,316/56,499
6. Step 6: Final answer
   x = 103,977.23