Finding the Third Proportional to 38,106 and 83,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,106 : 83,476.50 = 83,476.50 : x
2. Step 2: Convert to fraction form
   38,106/83,476.50 = 83,476.50/x
3. Step 3: Cross multiply
   38,106x = 83,476.50 × 83,476.50
4. Step 4: Simplify right side
   38,106x = 6,968,326,052.25
5. Step 5: Solve for x
   x = 6,968,326,052.25/38,106
6. Step 6: Final answer
   x = 182,866.90