Finding the Third Proportional to 38,884.50 and 85,302.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,884.50 : 85,302.38 = 85,302.38 : x
2. Step 2: Convert to fraction form
   38,884.50/85,302.38 = 85,302.38/x
3. Step 3: Cross multiply
   38,884.50x = 85,302.38 × 85,302.38
4. Step 4: Simplify right side
   38,884.50x = 7,276,495,180.64
5. Step 5: Solve for x
   x = 7,276,495,180.64/38,884.50
6. Step 6: Final answer
   x = 187,131.00