Finding the Third Proportional to 38,677.50 and 83,669.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,677.50 : 83,669.63 = 83,669.63 : x
2. Step 2: Convert to fraction form
   38,677.50/83,669.63 = 83,669.63/x
3. Step 3: Cross multiply
   38,677.50x = 83,669.63 × 83,669.63
4. Step 4: Simplify right side
   38,677.50x = 7,000,606,147.64
5. Step 5: Solve for x
   x = 7,000,606,147.64/38,677.50
6. Step 6: Final answer
   x = 180,999.45