Finding the Third Proportional to 53,830.13 and 77,054.63

Step by Step Solution

1. Step 1: Write the proportion equation
   53,830.13 : 77,054.63 = 77,054.63 : x
2. Step 2: Convert to fraction form
   53,830.13/77,054.63 = 77,054.63/x
3. Step 3: Cross multiply
   53,830.13x = 77,054.63 × 77,054.63
4. Step 4: Simplify right side
   53,830.13x = 5,937,415,233.89
5. Step 5: Solve for x
   x = 5,937,415,233.89/53,830.13
6. Step 6: Final answer
   x = 110,299.12