Finding the Third Proportional to 38,146.50 and 77,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,146.50 : 77,368.50 = 77,368.50 : x
2. Step 2: Convert to fraction form
   38,146.50/77,368.50 = 77,368.50/x
3. Step 3: Cross multiply
   38,146.50x = 77,368.50 × 77,368.50
4. Step 4: Simplify right side
   38,146.50x = 5,985,884,792.25
5. Step 5: Solve for x
   x = 5,985,884,792.25/38,146.50
6. Step 6: Final answer
   x = 156,918.32