Finding the Third Proportional to 38,937.50 and 83,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,937.50 : 83,798.50 = 83,798.50 : x
2. Step 2: Convert to fraction form
   38,937.50/83,798.50 = 83,798.50/x
3. Step 3: Cross multiply
   38,937.50x = 83,798.50 × 83,798.50
4. Step 4: Simplify right side
   38,937.50x = 7,022,188,602.25
5. Step 5: Solve for x
   x = 7,022,188,602.25/38,937.50
6. Step 6: Final answer
   x = 180,345.13