Finding the Third Proportional to 51,985 and 74,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,985 : 74,089.50 = 74,089.50 : x
2. Step 2: Convert to fraction form
   51,985/74,089.50 = 74,089.50/x
3. Step 3: Cross multiply
   51,985x = 74,089.50 × 74,089.50
4. Step 4: Simplify right side
   51,985x = 5,489,254,010.25
5. Step 5: Solve for x
   x = 5,489,254,010.25/51,985
6. Step 6: Final answer
   x = 105,593.04