Finding the Third Proportional to 53,835 and 77,063

Step by Step Solution

1. Step 1: Write the proportion equation
   53,835 : 77,063 = 77,063 : x
2. Step 2: Convert to fraction form
   53,835/77,063 = 77,063/x
3. Step 3: Cross multiply
   53,835x = 77,063 × 77,063
4. Step 4: Simplify right side
   53,835x = 5,938,705,969
5. Step 5: Solve for x
   x = 5,938,705,969/53,835
6. Step 6: Final answer
   x = 110,313.10