Finding the Third Proportional to 35,948.81 and 78,386.01

Step by Step Solution

1. Step 1: Write the proportion equation
   35,948.81 : 78,386.01 = 78,386.01 : x
2. Step 2: Convert to fraction form
   35,948.81/78,386.01 = 78,386.01/x
3. Step 3: Cross multiply
   35,948.81x = 78,386.01 × 78,386.01
4. Step 4: Simplify right side
   35,948.81x = 6,144,366,526.98
5. Step 5: Solve for x
   x = 6,144,366,526.98/35,948.81
6. Step 6: Final answer
   x = 170,919.87