Finding the Third Proportional to 38,100.38 and 83,561.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,100.38 : 83,561.63 = 83,561.63 : x
2. Step 2: Convert to fraction form
   38,100.38/83,561.63 = 83,561.63/x
3. Step 3: Cross multiply
   38,100.38x = 83,561.63 × 83,561.63
4. Step 4: Simplify right side
   38,100.38x = 6,982,545,172.64
5. Step 5: Solve for x
   x = 6,982,545,172.64/38,100.38
6. Step 6: Final answer
   x = 183,267.10