Finding the Third Proportional to 38,553 and 84,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,553 : 84,091.50 = 84,091.50 : x
2. Step 2: Convert to fraction form
   38,553/84,091.50 = 84,091.50/x
3. Step 3: Cross multiply
   38,553x = 84,091.50 × 84,091.50
4. Step 4: Simplify right side
   38,553x = 7,071,380,372.25
5. Step 5: Solve for x
   x = 7,071,380,372.25/38,553
6. Step 6: Final answer
   x = 183,419.72