Finding the Third Proportional to 17,913 and 38,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,913 : 38,744.50 = 38,744.50 : x
2. Step 2: Convert to fraction form
   17,913/38,744.50 = 38,744.50/x
3. Step 3: Cross multiply
   17,913x = 38,744.50 × 38,744.50
4. Step 4: Simplify right side
   17,913x = 1,501,136,280.25
5. Step 5: Solve for x
   x = 1,501,136,280.25/17,913
6. Step 6: Final answer
   x = 83,801.50