Finding the Third Proportional to 53,288 and 76,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,288 : 76,985.50 = 76,985.50 : x
2. Step 2: Convert to fraction form
   53,288/76,985.50 = 76,985.50/x
3. Step 3: Cross multiply
   53,288x = 76,985.50 × 76,985.50
4. Step 4: Simplify right side
   53,288x = 5,926,767,210.25
5. Step 5: Solve for x
   x = 5,926,767,210.25/53,288
6. Step 6: Final answer
   x = 111,221.42