Finding the Third Proportional to 38,095.50 and 83,573.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,095.50 : 83,573.25 = 83,573.25 : x
2. Step 2: Convert to fraction form
   38,095.50/83,573.25 = 83,573.25/x
3. Step 3: Cross multiply
   38,095.50x = 83,573.25 × 83,573.25
4. Step 4: Simplify right side
   38,095.50x = 6,984,488,115.56
5. Step 5: Solve for x
   x = 6,984,488,115.56/38,095.50
6. Step 6: Final answer
   x = 183,341.55