Finding the Third Proportional to 38,061 and 54,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,061 : 54,097.50 = 54,097.50 : x
2. Step 2: Convert to fraction form
   38,061/54,097.50 = 54,097.50/x
3. Step 3: Cross multiply
   38,061x = 54,097.50 × 54,097.50
4. Step 4: Simplify right side
   38,061x = 2,926,539,506.25
5. Step 5: Solve for x
   x = 2,926,539,506.25/38,061
6. Step 6: Final answer
   x = 76,890.77